Question

A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet.
f(t) = 0.01t^4 − 0.03t^3
(a) Find the velocity at time t (in ft/s).
(b) What is the velocity after 2 s?
(c) When is the particle at rest?
(d) When is the particle moving in the positive direction? (Enter your answer using interval notation.)
(e) Find the total distance traveled during the first 9 s. (Round your answer to two decimal places.)
(f) Find the acceleration at time t (in ft/s^2) and Find the acceleration after 2 s.
(h)When is the particle speeding up and down?

Answer 1

DIFFERENTIATE TO GET V.