Questions tagged [projectile-motion]

This tag is for questions regarding to "projectile motion", the motion of an object thrown or projected into the air, subject to only the acceleration of gravity.

When a particle is thrown obliquely near the earth’s surface, it moves along a curved path under constant acceleration that is directed towards the center of the earth (we assume that the particle remains close to the surface of the earth).The object is called a projectile, its path is called its trajectory and the motion is called projectile motion.

Example: The motion of falling objects, as covered in Problem-Solving Basics for One-Dimensional Kinematics, is a simple one-dimensional type of projectile motion in which there is no horizontal movement.

  • In a projectile motion, the only acceleration acting is in the vertical direction which is acceleration due to gravity $(g)$.
  • Air resistance to the motion of the body is to be assumed absent in projectile motion.
  • Projectile motion only occurs when there is one force applied at the beginning on the trajectory, after which the only interference is from gravity.
  • Equations of motion can be applied separately in $X$-axis and $Y$-axis to find the unknown parameters.

For more details follow the references.

References:

https://en.wikipedia.org/wiki/Projectile_motion

https://byjus.com/physics/projectile-motion/

https://courses.lumenlearning.com/physics/chapter/3-4-projectile-motion/

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Projectile motion - Initial $y$-velocity to hit $(x,y)$ with given $x$ velocity.

I want a function $f(v_{0x}, x_{end}, y_{end})$ that computes the starting velocity component $v_{0y}$ required to make the projectile land at the specified position $(x,y)$. $v_{0y}$ is thus the initial velocity in vertical $y$-direction. $v_{0x}$…
dekuShrub
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What do the conditions mean in projection motion?

Two people are throwing a ball from shoulder height $S$ in a hallway with ceiling $H$ meters high. The ball is thrown with velocity $v$. Show that the maximum separation is $d=4\sqrt{(H-S)v^2/2g - (H-S)^2}$ if $v^2 \ge 4g(H-S)$ and $d = v^2/g$ if…
user71207
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Is this the correct way to calculate the proper shoot angle to compensate for bullet drop?

This is my first post on this website and my friends in robotics recommended it to me for math help, so my apologies if I have any of the formatting wrong or any other issues. So my I have a barrel with a camera attached to it that shoots little…
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Projectiles question involving parallel motion

I'm trying to understand the mark scheme for the following question: A small stone is projected from a point O at the top of a vertical cliff OA. The point O is 52.5 m above the sea. The stone rises to a maximum height of 10 m above the level of O…
harpomiel
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Finding the initial launch angle of a projectile so that it reaches a certain point when a 2D acceleration is applied.

I'm trying to write an AI that can predict at which angle to throw a projectile so that it reaches a certain target position. It is on a 2D plane where the only acceleration applied to the object is wind (no gravity). What I know beforehand is: The…
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Can anyone expound this Projectile Motion computation please?

I have this formula for projectile motion that I'm using in Unity for getting the low or high direction of a shot, and it works. However, I'd love to understand the equation. And notably, Why force was raised to the power of 4? How to understand…
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Calculating Launch Angles for a Projectile With a Constant Wind Force

I'm trying to find a way to calculate the azimuth (a) and elevation angle (e) to have a projectile with a velocity of magnitude v hit an arbitrary point (P_t) from the origin. So the velocity vector would be expressed as $$ v \cdot \begin{bmatrix}…
BlueSpud
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Calculating Time of flight of flight from Horizontal velocity component

A question asks to calculate "How long the ball was in the air" and provides following data points: $$ initial\ velocity\ \ v_0=10ms^{-1}\\ Angle\ of\ Launch\ = 45^\text{o}\\ Horizontal\ distance \ travelled = 15m$$ The time of flight formula does…
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Year 12 Maths Mechanics - Projectile motion = range of angle - I got the full working out but I don't know how to conclude the final answer

I did the full working out for the following question (images attached below) but I don't know how to explain that the final answer is angles between the two angles 79.3 and 43.7 I've found. (The reason why I know this is the correct answer is…
BooScout
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How do you calculate the trajectory of an arrow?

The problem: I want to calculate at which angle I have to shoot an arrow in order to hit a target which is x meters away. What I know: Force of the bow Weight of the arrow Distance to the target Gravity in meters/sec (don't know if this is even…
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Why projectile motion equations can be reduced in certain intervals

I am trying to understand projectile motion, but I have gotten stuck at the point at which they state in the limit $t >> v_t/g$ the equation is reduced, and when $t << v_t/g$ we also remove some of the equation. $>>$ means much greater than as far…
F J
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Integrating projectile motion

I am trying to understand projectile motion, but I am stuck. I'm trying to follow http://farside.ph.utexas.edu/teaching/336k/Newtonhtml/node29.html#e5.23u. However, I don't understand how they reach equation 178 by integrating equation 176. And…
F J
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Projectile Motion-Throwing a Stone

A stone is thrown with a velocity of 20 ms^(-1) and at an angle of 60°. A second stone is thrown at the same time and place,with the same velocity but an angle of 30°. (a) Find which stone finishes its flight first and by how long. (b) Show that…
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How to solve Linear motion problem

At point K a particle which is at rest starts motion when $t=0$ it moves with a uniform acceleration $f_1$ for a period of $t_1$. Then it decelerates by $f_2$ for a period of $t_2$. Then it accelerates again by $f_1$ afterwards. prove if…
emil
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Time of flight of projectile from launch to landing

The formula below is the time of flight ( time of whole journey from launch(0,0) to landing (×,y) ) of a projectile whose initial vertical position is above the point of impact. I am trying to understand how the right side of the equation is…
Edville
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