The velocity function (in meters per second) is given for a particle moving along a line.

v(t) = t^2 − 2t − 15, 1 ≤ t ≤ 7

(a) Find the displacement.

(b) Find the distance traveled by the particle during the given time interval.

1 answer

Check you other posts, the questions are related.

Derivative of displacement (wrt time) is velocity.
Thus, integral of velocity is displacement.
D(t) = ∫(t^2 − 2t − 15) dt
D(t) = ?

After you solved for the integration, evaluate this from time t=1 to t=7.