Question

suppose that the equation of motion for a particle (where s is in meters and t in seconds) is
s=3t^3−2t
(a) Find the velocity and acceleration as functions of t.
Velocity at time t =
Acceleration at time t =
(b) Find the acceleration after 1 second.
Acceleration after 1 second:
(c) Find the acceleration at the instant when the velocity is 0.
Acceleration:

Answer 1

umm no im a little unsure i didnt go to class on the day of the lecture so im lost do i have to find the derivative first

Answer 2

The velocity is: v = ds/dt,
Acceleration is: a = dv/dt.

Answer 3

So, yes, to get the velocity, you have to calculate the derivative of s.

Answer 4

oh okay let me try to work out the problem