# 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.

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### How can you make the position vector eqx independent so that it just describes a path instead of path linked to a velocity via its derivative?

So I was attempting to learn how to model trajectories and I cannot connect the dots on how to change the velocity of a trajectory following a path described by a function of time, since the velocity ...
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### Calculate Projectile flight time based on Gravity

Hey I want to calculate the flight time of a Projectile in 3D Space based on Bullet's speed, Velocity, Acceleration and Gravity or a custom downward force. I already have a formula that calculates the ...
178 views

### maximum range of projectile launched from elevation

I am trying to find the maximum range of projectile from an elevation. I found the answer in this question, but I have two questions: Why does $y$ need to be $0?$ Why do they differentiate with ...
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### Initial speed required to reach a certain distance

I have a game where I am trying to calculate the initial speed required of a ball to reach a certain distance. The game is simulated in steps every step the ball is advanced by dx pixels. After every ...
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### How to solve equation for drag force?

I've been working on graphing the movements of a sphere when thrown. I'm trying to simulate air resistance. I've found the equation $$F_d=\frac12 C_d\rho V^2A$$ I've separated the velocity into x and ...
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1 vote
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### Where will the projectile strike the plane??

A particle is projected with velocity $V$,at an angle of $75^0$ to the horizon,from the foot of a plane whose inclination is $30^0.$I have to find where it will strike the plane. In the given ...
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### Horizontal SUVAT problem (AS Level)

Could someone please explain how you get the answer for the following question: ...
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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 ...
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### Projectile motion for negative height and angle

I'm trying to implement a turret in a game that compensate for bullet drop, I'm using the equations 1) and 2) from the next image to obtain the angle of the turret and time of flight. But it doesn't ...
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### Rearranging with theta on both sides and SEC!

I need to get an equation for theta in terms of x. This is how far I've got but my skill has fully run out. Idek if it is possible tbh. Any help would be super appreciated. theta = arcsin(0.156tan(0....
1 vote
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### Motion equations for rocket visiting several checkpoints on its path

For a computer game, I would like to study the motion of a rocket flying from a point A to point B on a two-dimensional plane. It is required that the speed of the rocket is zero both at the start and ...
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### Projectile Motion - Trajectories From Points

For a little background, this problem came up due to something I'm trying to code, however the problem itself is disparate from that. I know the basics of projectile motion and kinematics from a pair ...
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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 <...
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### Solving a system of (projectile motion) second order differential equations

I have a system of two second order differential equations, and some initial conditions. I know how to solve it using MATLAB but my problem is with the 4 initial conditions, two of them have an ...
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1 vote
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### Given two points in three dimensions, how can one find the direction of motion and angle of descent of a projectile?

Say you shoot a basketball and you have the data for the ball's x, y, and z coordinates (where z is height and peaks at around z=16) through its time in the air. That's the data that I have. I want to ...
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### Trouble finding the velocity of a projectile launched from a height

The following question has been giving me trouble for a while now, it states A particle is thrown with speed $10 \space \text{ms}^{-1}$ from a point $2\space \text{m}$ from the ground, at an angle ...
• 562
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### Formula for range of a projectile landing at some distance above the ground

What will be the formula for range of the projectile if it is launched from the ground level but lands at some height about the ground? I have searched everywhere for the answer, but everyone has ...
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### Arc length meaning

I am currently studying about Parametric integration and very confuse about the arc length meaning. In my understanding, the arc length is the total length that an object traveled along a curve in a ...
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1 vote
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### Maximal area under projectile trajectory

Problem: A projectile is fired with an initial velocity of $v$ at an angle of $\theta$ from the ground. Then its trajectory can modeled by the parametric equations \begin{align*} x &= vt \cos \...
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