velocity and acceleration

Question

s(t) = 6t 2 − 12t + 6/t + 3 , t ≥ 0

Find the velocity of the particle when its acceleration is 3 nm/s2

Answer 1

Assuming that s(t) refers to a location, you need to take the derivative of the formula (with respect to t) to find the velocity formula. Take the derivative a second time to find the acceleration formula. Once you have done this, you will be able to solve for t using the provided acceleration. Then use the t-value from that in the velocity formula to determine the velocity at that time.

NOTE: If s(t) refers to speed (or velocity), then you need only take the derivative once to have the acceleration formula.