A particle in rectilinear motion follows the path s(t) = t^3 − 6t^2 + 9t, where s is in meters, and t is in seconds.

Question

A particle in rectilinear motion follows the path s(t) = t³ − 6t² + 9t, where s is in meters, and t is in seconds.

Answer 1

s(t) = t^3 -6t^2 + 9t = distance in meters at time t seconds

it goes forward for 1 second, then backwards for 2 seconds, then forward again

you can see that by graphing the polynomial