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) = v0*t*cos θ
y (t) = v0*t*sinθ - (1/2)*g(t^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