- #1
oblong-pea
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- Homework Statement
- A ball is fired at angle (theta) with velocity (v) from point 0 (the origin) and it follows projectile motion.
It hits a wall at distance (D) from the origin and rebounds.
For this example
theta = 50 deg
V = 50m/s
g = 9.81 m/s^2
D = 200 m
I can plot a graph of the projectile motion, however I'm trying to write an equation to plot the rebound curve of this ball after hitting the wall on a graph with the variables given.
All momentum is conserved, no velocity lost
In this case the ball hits the wall at yIm = 48.41m high from the x axis (0).
I've been stuck on this for a while, so any help would be greatly appreciated.
- Relevant Equations
- X = horizontal distance
Y = height of ball
For any x distance:
Y = x*tan(theta) - [ (g*x^2) / (2*v^2*cos^2(theta)) ] plots the projectile motion curve.
My attempts involved using suvat equations to determine the rebound distance :
S = 0.5 * (u + v)*t
With u being 50 and v being 0
t being time taken to fall down (Height of impact / gravitational acceleration)
t = 48.41 / 9.81
Plugging the numbers in gives
S = 123.365m
This is where i get stuck.
I tried changing the x values in the projectile equation to between the D and the rebound distance s. It of course plots only that section of the projectile curve. I can't work out how to tell it to plot a rebound from point of impact at yIm to the distance it rebounds by.
S = 0.5 * (u + v)*t
With u being 50 and v being 0
t being time taken to fall down (Height of impact / gravitational acceleration)
t = 48.41 / 9.81
Plugging the numbers in gives
S = 123.365m
This is where i get stuck.
I tried changing the x values in the projectile equation to between the D and the rebound distance s. It of course plots only that section of the projectile curve. I can't work out how to tell it to plot a rebound from point of impact at yIm to the distance it rebounds by.