Question

The function s=f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds. s= -t^3 + 6t^2 - 6t, 0 less than or equal to t less than or equal to 6. Find the body's speed, velocity and acceleration at t=6 seconds.

Answer 1

Lets Start with the velocity. How would you write an equation that relates velocity and time?

Answer 2

First of all, have you learned to take derivatives?