A particle moves according to a law of motion s = f(t), t >= 0, where t is measured in seconds and s in feet.
Find the velocity at time t.
What is the velocity after 3 s?
When is the particle at rest?
When is the particle moving in the positive direction?
Find the total distance traveled during the first 8 seconds.
Find the acceleration at time t after 3 s.
When is the particle speeding up? When is it slowing down?
The equation is f(t) = .01t^4 -.04t^2
I don't quite understand how do to this problem so a complete explanation would be best.