If a function s(t) gives the position of an object at time t, the derivative gives the velocity, that is, v(t) = s'(t). Find (a) v(t) and (b) the velocity when t=0, t=4, and t=10.
s(t) = -3t^3 + 2t^2 - 9t + 8
(a) Which rule(s) should be used to find v(t)? Select all that apply
v(t) =
A. The power rule
B. The constant rule
C. The constant times a function rule
D. The sum or difference rule
(b) When t = 0, the velocity is
When t = 4, the velocity is
When t = 10, the velocity is
