When students receive money to play a particular sport at a college or university it is an example of

a) Vx = -31.95 km/h       b) Vy = -45.07 km/h

c) t = 0.083 h                 d) d = 0.22 km

Explanation:

First we have to express these values as vectors:

ra = (2.5, 3.9) km      rb = (0,0)km

Va = (0, - 21) km/h    Vb = (31.95, 24.07) km/h

Now we can calculate relative velocity:

For parts (c) and (d) we need the position of A relative to B and the module of the position will be de distance.

In order to find out the minimum distance we have to derive and find t where it equals zero:

Solving for t we find:

t = 0.083 h

Replacing this value into equation for d:

d = 0.22 km