Question

The velocity of a particle moving along the x-axis is v(t) = t2 – 2t, with t measured in minutes and v(t) measured in feet per minute. To the nearest foot find the total distance travelled by the particle from t = 0 to t = 3 minutes..

Answer 1

This is just

∫[0,3] t^2 - 2t dt

Answer 2

V = t^2 - 2t = 3^2 - 2*3 = 3 Ft/min.

d = V*t = 3Ft./min. * 3min. = 9 Ft.

Answer 3

Its Zero