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.
A ball is thrown from the origo over a flat horizontal ground. the x-axis is horizontal...
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