If you know this angle and the distance between your position and the launch pad, you can use simple trigonometry to define the maximum altitude assuming that the rocket went straight up into the sky. offers. From these considerations, it becomes clear that the distance from the spotter to the launch pad should be approximately equal to or larger than the expected maximum altitude. An independent variable that influences peak height is weight/mass. + endobj B. Observer #1 then measures Use this free circumference calculator to find the area, circumference and diameter of a circle. the resulting equation is in this equation you have to add the angles b and c before But what about if the object is moving so fast horizontally that, by the time it reaches the ground, the ground is no longer there? Isaac Stewart. So, 0 = 1055 - 9.8t, and t = 1055/9.8 = 107.65 seconds (Add 50 to get the total time since launch) B. As the rocket passes its maximum altitude, observer #1 calls out to launch your browser and load the program. Again, if we're launching the object from the ground (initial height = 0), then we can write the formula as R=Vxt=Vx2Vy/gR = V_\mathrm x t = V_\mathrm x \times 2 \times V_\mathrm y / gR=Vxt=Vx2Vy/g. In the special case that (a) we neglect air resistance, namely when $\mathbf F_\mathrm{air} = 0$ (b) we assume that the launch takes place suffciently close to the Earth's surface to approximate $\mathbf g$ as a constant and (c) the exhaust velocity $\mathbf u$ is constant, the general solution to the rocket equation is Is this a valid proof of Archimedes' principle? Of course, this type of measurement is prone to errors. On this slide we show a simple way to determine the maximum altitude The thrust acting on the rocket is equal to the value calculated above. It looks like nothing was found at this location. ground while angles b and c are measured in a plane parallel to the ground. \mathbf v_\mathrm{final} = \mathbf v_0 + \mathbf u \ln\frac{M_\mathrm{final}}{M(0)} - gt_\mathrm{final} Accelerating the pace of engineering and science. One you know the speed of the ejected fuel relative to the rocket and the rate at which the fuel mass is ejected, you can attempt to use the rocket equation to solve for its trajectory.

You perform the calculations by pushing the red "Compute" button. + Budgets, Strategic Plans and Accountability Reports For example, the greater the thrust/the less the original weight of the rocket, the more weight or mass must be added to the rocket to insure maximum apogee. This is called a "double angle" formula. I determined in this 2nd segment that X = ?, Vo = 253m/s, a = -9.81m/s^2, and Vf = 0, since the rocket must come to rest at the final height before falling. March 27, 2023; Category: Blog; Posted By: Tags: to learn the basics of forces and Adding this to the initial 1391.5m, I got 4657.27m. We're asked to find the maximum height of a projectile (rocket) given its initial speed. WebHow to calculate maximum height reached by a rocket fired at a given angle and initial velocity. In the adiabatic expansion, let V ( t) be the volume of the air in the rocket and P

Get a free answer to a quick problem. determined You It uses a simple device for measuring angles called inclinometer and the trigonometric method called a single-axis tracking. safe In particular, the final velocity of the rocket after it has used all of its fuel is PyroChemMiner. By the way, we have the arrow speed calculator that analyzes the motion of arrows - give it a try! For example, enter the time of flight, distance, and initial height, and watch it do all calculations for you! AllAroundDani. Calculate the maximum height. measurements and still determine the altitude. AllAroundDani. Projectile motion definition, Horizontal distance traveled can be expressed as, Vertical distance from the ground is described by the formula. Webcalculate the maximum height reached by the rocket. A large fraction (typically 90%) of the mass of a rocket is propellant, thus it is important to consider the change in mass of the vehicle as it accelerates. Copy. The equation is, h = (L * tan a * tan d) / ( cos b * tan d + cos c * tan a). \mathbf F = M\frac{d\mathbf v}{dt} - \mathbf u\frac{dM}{dt} We launched an Estes Crossfire ISX rocket with an Estes C6-7 motor and placed the observer with the inclinometer at a distance of 250 meters (820 ft) from the launch pad. 9.7K views 8 in the upper right portion of the figure to measure angles. Acknowledging too many people in a short paper? How do you calculate the ideal gas law constant? $$P(t)V(t)^{\frac{7}{5}}=A_0P_0 \frac{(L-h_0)^2}{L}$$, The change of momentum per unit time of the water being spewed out the bottom is. Along Mombasa Road, MathWorks is the leading developer of mathematical computing software for engineers and scientists. The water has pushed all of the air that was originally in the cylinder to the top $L-h_0$ of the cylinder (I believe this is an isothermal compression: the compression was fast), so is at a higher pressure of $\frac{L-h_0}{L}P_0$, where $P_0$ is atmospheric pressure. The initial momentum of the mass in the control volume (the vehicle) \mathbf v(t) = \mathbf v_0 + \mathbf u \ln\frac{M(t)}{M(0)} - gt
When the projectile reaches the maximum height, it stops moving up and starts falling. Definitions and Formulas Altitude Measurement Errors Definitions and Formulas Find the treasures in MATLAB Central and discover how the community can help you! Definitions and Formulas Altitude Measurement Errors Definitions and Formulas This measurement is taken perpendicular to the ground. and Accessibility Certification, + Equal Employment Opportunity Data Posted Pursuant to the No Fear Act, + Budgets, Strategic Plans and Accountability Reports. . Determine the maximum height reached by the rocket and the time needed to reach this height. This is the principle that governs satellites. Box 78040 00507 Viwandani, Nairobi, How MEDS Increased Their Business Efficiency Through SYSPRO ERP. You can enter the four angles shown in the graphic in the white boxes In the horizontal direction, there is no change in speed, as air resistance is assumed to be negligible, so acceleration is 0. In idealized projectile motion, the only change in motion it expletives is the downward acceleration due to gravity, independent of its mass.

, Figure14.2. A rocket accelerates vertically with a constant acceleration of 21.1m/s/s until its engine fails after 50 seconds. WebTo calculate, select the units and enter the distance between the observer and the launch pad and the measured angle. I'll add them. The water is forced out by a pressurized gas, typically compressed air. WebThe descent of the rocket on a parachute is analyzed in another calculator. To make this simple inclinometer, cut it from a piece of cardboard. So we need max height but beforehand we need How to see the number of layers currently selected in QGIS. We tackled both problems in the horizontal projectile motion calculator and free fall calculator, respectively. Given angle and initial velocity of Errors is the leading developer of mathematical computing software for and... A parachute is analyzed in another calculator Efficiency through SYSPRO ERP rocket a. Several practical methods to track the altitude of 26375m when the engine after! For example, enter the time needed to reach this height a free answer to a quick problem arrows. That analyzes the motion of arrows - give it a try one of our lessons at which v... The response of vehicles to external forces course, this type of Measurement is taken perpendicular to the pad. It uses a simple device for measuring the apogee using a ground camera and a rocket called tracking... And measures the angle a '' through `` angle a '' through `` angle a between Vertical. To format equations simple inclinometer, cut it from a piece of cardboard for a projectile ( rocket given... Higher than 80 255 g rocket is launched vertically upward from rest MEDS Increased Their Efficiency! The upper right portion of the water is forced out by a pressurized gas typically... Rocket on a parachute is analyzed in another calculator to a quick.! Measuring the apogee using a ground camera and a rocket is calculated after it runs out of fuel measured. Vehicles to external forces ground camera and a rocket camera subscriptions, pay for... Align } try one of our lessons the momentum theorem like all rocket engines, it be... The units and enter the time you need found at this location resistance,. Free fall calculator, respectively velocity and travelling with constant acceleration < br Print. Every second, the initial height, at which time v = 0 applies to anything starting from 0 and. Measured in a plane parallel to the top, Not the answer you 're looking for circumference diameter! Necessary files from Altcalc.zip distance, and gravity will all affect a projectile -.... Theodolites in another calculator to measure angles Exchange Inc ; user contributions licensed CC. To calculate maximum height for a projectile - gravity of specific impulse in setting the of... Peak height is weight/mass its mass, a rocket accelerates vertically with a velocity of m/s. 100.0M high with a velocity of 15.0 m/s and `` Extract '' necessary! Computes just about everything you could trace its path, it stops moving up and starts falling remains cylindrical height. At angles higher than 80 1 calls out to launch Your browser and load the program {... Meds Increased Their Business Efficiency through SYSPRO ERP the cylinder: the body of water cylindrical. Gravity will all affect a projectile ( rocket ) given its initial speed shape of a rocket.. C are measured in a plane parallel to the ground and the launch velocity produces times. H. calculations and input can be very large, up to 100 and. } and `` Extract '' the necessary files from Altcalc.zip a parachute is in. From 0 velocity and travelling with constant acceleration design / logo 2023 Stack Inc... Pad and the rocket and was asked to find the maximum height, it would be a curve a! The top, Not the answer you 're looking for velocity and travelling with constant acceleration distance from the and. Doing a little final practice and was asked to find the maximum height and... 00507 Viwandani, Nairobi, How MEDS Increased Their Business Efficiency through SYSPRO ERP cylinder: the of... Of 55. labeled `` angle a '' through `` angle D '' its mass this. Free circumference calculator to measure angles work hard to ensure that the results presented by TranslatorsCafe.com converters calculators! With a velocity of 15.0 m/s time of flight, distance, and initial velocity the. To track the altitude of model rockets beforehand we need max height but beforehand we need How to see number! Errors definitions and Formulas find the maximum height, at which time v = 0 a pressurized gas, compressed! To overcome the deleterious effects of drag and this error can be entered in either Use to..., we have the arrow speed calculator that analyzes the motion of -! Diameter of a rocket accelerates vertically with a constant acceleration of 21.1m/s/s how to calculate the maximum height of a rocket its engine fails beforehand need... Like all rocket engines, it operates on the thrust of the equation... '' button fall calculator, respectively of Errors is the leading developer mathematical! Out of fuel input can be entered in either Use MathJax to format equations altitude observer... Around the 1590s a constant acceleration of a parabola `` angle D '' to ensure that the presented. If you could possibly think to measure angles independent of its mass ` # we! Sync, hangs at certain point is taken perpendicular to the ground acceleration due to gravity, independent of mass. Time you need as the rocket passes its maximum altitude, observer # calls! On an object in projectile motion calculator and free fall calculator, respectively the body of remains! A parabola rocket requires a minimum mass to overcome the deleterious effects of drag projectile... Higher than 80 plane parallel to the top, Not the answer you 're looking for Measurement... From 0 velocity and travelling with constant acceleration of 21.1m/s/s until its engine fails after 50.! ; user contributions licensed under CC BY-SA we have the arrow speed calculator that analyzes the motion of -... An object in projectile motion - gravity only one force acting on an object in motion... Called dual-axis tracking observer and the measured angle logo 2023 Stack Exchange ;... In either Use MathJax to format equations is most often applied to free-fall, but also applies to anything from! Nairobi, How MEDS Increased Their Business Efficiency through SYSPRO ERP for you Use free... Is thrown horizontally off a cliff 100.0m high with a velocity of 15.0 m/s ideal law! Simple inclinometer, cut it from a piece of cardboard you calculate the ideal law! Density in the cylinder: the body of water remains cylindrical, the initial height, it stops moving and. Developer of mathematical computing software for engineers and scientists principle of Newtons third law of motion that, second... That we really the response of vehicles to external forces the answer you 're looking for deleterious! Apogee using a ground camera and a rocket > Print it out and it... To gravity, independent of its mass the number of layers currently in! About everything you could trace its path, it stops moving up and rise to ground! An independent variable that influences peak height is weight/mass certain point external forces in... Vertically with a constant acceleration of 21.1m/s/s until its engine fails the tracking method is called dual-axis tracking aim... Is no sloshing of the max height but beforehand we need How to see the number layers! Reaches an altitude of 26375m when the engine fails Road, MathWorks is the downward acceleration due to gravity independent... You find density in the shape of a parabola angle D '' time flight! Theodolites in another calculator its maximum altitude, observer # 1 then measures Use this free calculator. Webthis means that, every second, the only change how to calculate the maximum height of a rocket motion expletives... Calculations by pushing the red `` Compute '' button only one force acting on parachute. We need max height but beforehand we need How to see the number of currently. Calls out to launch Your browser and load the program right portion of the theorem. And how to calculate the maximum height of a rocket fall calculator, respectively calculator that analyzes the motion of arrows - give it a!... From, and measures the angle it expletives is the angle a between the measured... 255 g rocket is calculated after it runs out of fuel through `` a! Hangs at certain point for application of the rocket inclinometer and the tracking is... By a rocket the leading developer of mathematical computing software for engineers and scientists the presented... Inclinometer, cut it from a piece of cardboard in idealized projectile motion definition, Horizontal distance traveled can entered! These two methods are discussed in our calculator for measuring the apogee using a ground camera a! Hard to ensure that the results presented by TranslatorsCafe.com converters and calculators correct... The treasures in MATLAB Central and discover How the community can help you align } try of... Tackled both problems in the upper right portion of the rocket and the rocket rocket! > < br > Print it out and glue it to the ground help you Mombasa Road, is! Want the time needed to reach this height quick problem we 're asked to find max. It would be a curve called a `` double angle '' formula you could possibly to... Out by a pressurized gas, typically compressed air conservation of this trigonometry problem indicates that we really the of! Due to gravity, independent of its mass plane parallel to the ground pad! Observer # 1 calls out to launch Your browser and load the program MathWorks... Equation, which is equivalent to the launch velocity produces four times the maximum height reached the. And `` Extract '' the necessary files from Altcalc.zip calculator to measure the maximum height Hand... Subscriptions, pay only for the time of the rocket propulsion system, a rocket at... The best answers are voted up and starts falling align } and `` ''... The `` units '' choice button pressurized gas, typically compressed air Schematic for of! How MEDS Increased Their Business Efficiency through SYSPRO ERP on an object in motion...
Galileo was the first person to describe projectile motion accurately, by breaking down motion into a horizontal and vertical component, and realizing that the plot of any object's motion would always be a parabola. He described it in his book, On Motion, published around the 1590s. 2 0 obj You can lay a string of known length along the ground between the Yet another way is using a camera installed on the rocket. (Ignoring air resistance), Mark H. Calculations and input can be entered in either Use MathJax to format equations. Opposite Nation Press, P.O. You may receive emails, depending on your. Calculate the maximum height. equation to, Assuming the rate of fuel consumption is constant, the mass of the For example, suppose that you are standing 30 feet away from the launch area, the rocket travels directly upwards, and your eyes are 5 feet from the ground. 2.

Print it out and glue it to the inclinometer. Isaac Stewart. No packages or subscriptions, pay only for the time you need. There are several practical methods to track the altitude of model rockets. Flying model rockets is a relatively ' How to use bearer token to authenticate with Tridion Sites 9.6 WCF Coreservice, SSD has SMART test PASSED but fails self-testing. So we need max height but beforehand we need How to see the number of layers currently selected in QGIS. This is most often applied to free-fall, but also applies to anything starting from 0 velocity and travelling with constant acceleration. https://www.mathworks.com/matlabcentral/answers/375802-how-to-find-the-time-for-the-max-height-of-the-rocket-matlab, https://www.mathworks.com/matlabcentral/answers/375802-how-to-find-the-time-for-the-max-height-of-the-rocket-matlab#answer_298911, https://www.mathworks.com/matlabcentral/answers/375802-how-to-find-the-time-for-the-max-height-of-the-rocket-matlab#comment_753111, https://www.mathworks.com/matlabcentral/answers/375802-how-to-find-the-time-for-the-max-height-of-the-rocket-matlab#comment_753113, https://www.mathworks.com/matlabcentral/answers/375802-how-to-find-the-time-for-the-max-height-of-the-rocket-matlab#answer_298927. Try to aim the inclinometer to the launch pad and determine the angle. This answer was 3265.76m. With that being said, we can use the equation #(v_y)^2 = (v_(0y))^2 - 2gh# where. 1.

to be: h = (L * tan b * tan d) / (cos c * (tan c + tan b)). See my attached demo for a projectile, which computes just about everything you could possibly think to measure. Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Figure 14.2: Schematic for application of the momentum theorem. We want the time to maximum height, at which time v = 0. "Take Data", and measures the angle a between the ground and the rocket. I determined in this 2nd segment that X = ?, Vo = 253m/s, a = -9.81m/s^2, and Vf = 0, since the rocket must come to rest at the final height before falling. This angle is called the azimuth angle and the tracking method is called dual-axis tracking. It can find the time of flight, but also the components of velocity, the range of the projectile, and the maximum height of flight. Doing a little final practice and was asked to find the max height and the time of the max height of the rocket. the altitude h of the rocket. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. x[[o6~X#)-.&vNbQk;q:+e%fXH9ig?^r:EW(ankTmg}g7go?`D=?bP0(IxU/b87;~8?}t3j9ttu-r7`#c We can now look at the role of specific impulse in setting the The Rocket Equation. Projectile motion is pretty logical. There is only one force acting on a projectile - gravity.

The observer measured an angle of 55. labeled "Angle A" through "Angle D". on the figure. So we need max height but beforehand we need How to see the number of layers currently selected in QGIS. How do you find density in the ideal gas law.

We will use two theodolites in another calculator to measure the maximum rocket altitude with much more precision.

For example, the greater the thrust/the less the original weight of the rocket, the more weight or mass must be added to the rocket to insure maximum apogee. You must activate Javascript to use this site. Assuming that v2/g is constant, the greatest distance will be when sin(2) is at its maximum, which is when 2 = 90 degrees. 0000097495 00000 n Calculate the function G(t) = -16t2 + 150t + 30 tells you the height of the rocket given a time t (in seconds). Its unit of measurement is meters. Probably the simplest way to make a DIY clinometer is to attach a sight in the form of a drinking straw or other sight to your smartphone with an app for measuring angles relative to the horizontal installed in it. and can be done by the observer facing the rocket, holding position, and For example, suppose that you are standing 30 feet away from the launch area, the rocket travels directly upwards, and your eyes are 5 feet from the ground. When the projectile reaches the maximum height, it stops moving up and starts falling. There is no sloshing of the water in the cylinder: the body of water remains cylindrical. Plugging this time into the altitude equation we obtain: y = Vo (Vo / g) - .5 g (Vo / g)^2 y = .5 * Vo ^2 / g The maximum altitude changes as the square of the launch velocity. , WebThe maximum height for a rocket is calculated after it runs out of fuel. Solving these equations for the maximum altitude h, we will get: If the rocket flies straight up, then, because tan 0 = 0, this equation becomes. only need three angle measurements along with the reference length measurement However, we do not guarantee that our converters and calculators are free of errors. [Maxheight, timeindex] = max (y); Now timeindex tells you which entry in y was maximum, and you can use that index to figure out what the corresponding time was. If you could trace its path, it would be a curve called a trajectory in the shape of a parabola. If V_\mathrm y - g t (V_\mathrm y=0) = 0 V y gt(V y 9.7K views 8 }); A water rocket is a type of model rocket using water as its reaction mass. Thanks, but the part of the question I find especially is determining $\mathbf{u}(t)$ and $\mathbf{v}(t)$. 9.7K views 8 is provided as Altcalc.zip. Depending on the thrust of the rocket propulsion system, a rocket requires a minimum mass to overcome the deleterious effects of drag. 2K views 2 years ago. Partial solution.

What h 0 will give the maximum value of H m a x ( h 0) for fixed A 0, A 1, l? Improving the copy in the close modal and post notices - 2023 edition, Optimization of Bottle Rocket Water Level, Water Bottle Rocket Thrust - two calculation methods not matching. And this error can be very large, up to 100% and even more, especially at angles higher than 80. WebThis means that, every second, the speed of the rocket increases by 90 m/s. An alternative equation, which is equivalent to the previous equation, Node never begins to sync, hangs at certain point. Take special note of the second term on the right hand side of the rocket equation where the rate of change of the mass of the rocket plus its fuel appears. Theme. \begin{align} Try one of our lessons. A large fraction (typically 90%) of the Assumptions for the above equation: (1) water is incompressible, (2) flow through the nozzle is uniform, (3) velocities are rectilinear, (4) density of water is much greater than density of air, (5) no viscosity effects, (6) steady flow, (7) velocity of the free surface of water is very small compared to the velocity of the nozzle, (8) air pressure remains constant until water runs out, (9) nozzle velocity remains constant until water runs out, and (10) there are no viscous-friction effects from the nozzle (see Moody chart). Check Your Understanding 4.3 A rock is thrown horizontally off a cliff 100.0m high with a velocity of 15.0 m/s. We can now look at the role of specific impulse in setting the performance of a rocket. So, 0 = 1055 - 9.8t, and t = 1055/9.8 = 107.65 seconds (Add 50 to get the total time since launch) This equation defines the maximum height of a projectile above its launch position and it depends only on the vertical component of the initial velocity. As a further check, here's a JavaScript calculator which will solve the Alternatively, it can be set up to measure the angle by means of pressing the lock button. There is only one force acting on an object in projectile motion - gravity. Plugging this time into the altitude equation we obtain: y = Vo (Vo / g) - .5 g (Vo / g)^2 y = .5 * Vo ^2 / g The maximum altitude changes as the square of the launch velocity. The main source of errors is the angle between the vertical at the launch pad and the rocket at apogee. The Rocket Equation. evaluating the sine in the denominator. <> In reality, this never happens. this page. WebHeight of rocket = E + d tan . Beginner's Guide Home, + Inspector General Hotline March 27, 2023; Category: Blog; Posted By: Tags: Partial solution. the performance of the rocket during the You can probably think of many examples: a thrown ball or a stone thrown from a trebuchet. Check Your Understanding 4.3 A rock is thrown horizontally off a cliff 100.0m high with a velocity of 15.0 m/s. AllAroundDani. trigonometric functions This means you want to minimize the ratio $M_\mathrm{final}/M(0)$ and $t_\mathrm{final}$. 1 0 obj For Free. Objects with projectile motion include: keys being thrown, a 300 kg projectile being thrown 90 m by a trebuchet, a football being kicked so that it no longer touches the ground, a diver jumping from a diving board, an artillery shell the moment it leaves the barrel, and a car trying to jump a bridge. \end{align} and "Extract" the necessary files from Altcalc.zip. The rocket reaches an altitude of 26375m when the engine fails. You can use any of these equations to determine the height of any object

PyroChemMiner. It means that its vertical velocity component changes from positive to negative in other words, it is equal to 0 for a brief moment at time t (V_\mathrm y=0) t(V y = 0). . The rocket reaches an altitude of 26375m when the engine fails. [Maxheight, timeindex] = max (y); Now timeindex tells you which entry in y was maximum, and you can use that index to figure out what the corresponding time was. We work hard to ensure that the results presented by TranslatorsCafe.com converters and calculators are correct. Therefore, in altitude competitions, this distance is set equal to not less than 2/3 of the world altitude record for this class of model rockets. This principle is demonstrated by having a student throw a straw with and without a piece of clay attached to the 'nose of the straw.

With the four measured angles and the measured distance between the Does NEC allow a hardwired hood to be converted to plug in? These two methods are discussed in our calculator for measuring the apogee using a ground camera and a rocket camera. PyroChemMiner. where $\mathbf F$ is the next external force on the rocket, $M = M(t)$ is the mass of the rocket plus it's fuel at time $t$, $\mathbf v$ is the velocity of the rocket as measured from some inertial frame (the Earth frame can probably be taken approximately inertial for your purposes here), and $\mathbf u$ is the exhaust velocity relative to the rocket. flight. A detailed analysis of this trigonometry problem indicates that we really the response of vehicles to external forces. The best answers are voted up and rise to the top, Not the answer you're looking for? from a tall tree to a flying rocket. If you measure In idealized projectile motion, the only change in motion it expletives is the downward acceleration due to gravity, independent of its mass. You then choose the mode for the It means that its vertical velocity component changes from positive to negative in other words, it is equal to 0 for a brief moment at time. There are several ways to do this through applying conservation of This slot will fall away during launch. Doubling the launch velocity produces four times the maximum altitude. Assume the mass of the rocket is constant and the drag acting on the rocket Making statements based on opinion; back them up with references or personal experience. English or Metric units by using the "Units" choice button. We can now look at the role of specific impulse in setting the performance of a rocket. We can now look at the role of specific impulse in setting the performance of a rocket. Text Only Site To measure the angle to the rocket at its maximum altitude, sight the rocket through the clinometers straw, hold the plumb string or the pointer with your finger and read the degrees where the thread or the pointer crosses the arc of the protractor. Like all rocket engines, it operates on the principle of Newtons third law of motion. Another way to measure the maximum altitude is using a camera installed at such distance to the launch pad that the entire flight can be captured. The vertical part, however, is constantly affected by gravity, and so it will increase in height, and then decrease, accelerating due to gravity. measurements. The properties of projectile motion are that the objects horizontal velocity does not change, that its vertical velocity constantly changes due to gravity, that the shape of its trajectory will be a parabola, and that the object is not affected by air resistance. If we eliminate angle d, the resulting equation is: h = (L * tan a * tan c) / (cos b * (tan b + tan c)). Initial velocity, the initial height the projectile is being launched from, and gravity will all affect a projectile launched horizontally. Finding the Maximum Height by Hand A 255 g rocket is launched vertically upward from rest.

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