AP Calculus AB (Please explain answers as well as show work) 2.

AP Calculus AB (Please explain answers as well as show work)

2. The displacement, in feet, of a particle moving along the x-axis is given by the equation s(t) = 2t^3 − 5t^2 − 3, where t is measured in seconds.

A. Determine the velocity function and find the velocity of the particle at v(t)=

a. t=1

b. t=2

c. t=3

B. When is the particle moving to the left? Justify your answer.

C. Find the average velocity on the time interval.

a. [2, 2.5]

b. [t, t+h]