Question

A car moves in a straight line such that for a

Answer 1

Answer:

s = 90 m

a = 56 m/s²

Explanation:

I will ASSUME that your equation is silly as it reduces to V = 11t which is constant, and that you mean V = 9t² + 2t

Position is the integral of differential velocities

s = $\int\limits^3_0 {9t^2 + 2t} \, dt$

s = 3t³ + t² | from 0 to 3

s = 3(3)³ + 3² - (0) = 90 m

acceleration is the derivative of velocity

a = v' = 18t + 2

a(3) = 18(3) + 2 = 56 m/s²