Question

The velocity function, in feet per second, is given for a particle moving along a straight line. Find (a) the displacement and (b) the total distance  that the particle travels over the given interval.

v (t) = 5t - 7,     0 ≤  t  ≤ 3

Answer 1

Step 1:

The velocity function is , .

(a)

Find displacement.

The velocity is defined as change in displacement with respect to change in time.

.

Displacement  of the particle is .

Solution :

(a) Displacement  of the particle is .