Question

A ball is thrown from the origo over a flat horizontal ground. the x-axis is
horizontal along the ground and the y-axis points vertically upwards. The ball is thrown
out at speed v0 at time t = 0. Throw can be set with throw angle θ i
relative to the horizontal x-axis. The ball will follow a path given by
x(t) = v0t cos θ
y(t) = v0tsin θ -1/2*gt^2
a) Find the time tm when the ball falls to the ground (y = 0) and the position
x (tm) = xm where this happens.
b) Introduce dimensionless variables (x*, y*,t*) for x, y, t when scaling
xm for length and tm for time. Explain why there is no need to scale
angle θ.

Answer 1