Amotorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00 min, and finally travels northwest at 30.0 m/s for 1.00 min. for this 6.00- min trip, find (a) the total vector displacement, (b) the average speed, and (c) the average velocity. let the positive x axis point east.

a) D=-4273(x)-2327(y)

b) v=23.33m/s

c) V=-13.51m/s south of west.

Explanation:

In order to find the displacement we have to divide the motion on its X and Y components:

The total X displacement is the algebaric sum of the movement:

We have to do the same on Y:

D=-4273(x)-2327(y)

The angle is given by:

That is 28.57 degrees south of west.

the total displacement magnitude is given by:

The average speed is given by:

and the Average velocity is given by:

The average velocity is:

with an angle of 28.57 degrees south of west.