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## Homework Statement

A car is stopped at a traffic light. It then travels along a straight road so that its velocity is given by the equation v(t)=(7.20m/s^2)t-(0.720m/s^3)t^2 Determine the following

a. The average velocity of the car from t=0s to t=10s

b. The instantaneous velocity of the car at t=10s

c. The average acceleration of the car at t=10s

d. The instantaneous acceleration of the car at t=10.s

## Homework Equations

Derivatives

## The Attempt at a Solution

in a.) I integrated the equation to get the position function

x(t)=(1/2)(7.20m/s^2)(t^2)+(1/3)(-0.720m/s^3)(t^3)+C

then I substitute t = 10 s

I got 120 m/s but the answer should be -72 m/s <-

**So I need help here**

b.) I derive the x(t) to return the original equation then I substitute t = 10 s right?

c.) I'll simply derive the original equation (7.20m/s^2)+2(-0.720)(10) = -7.2 m/s^2

d.) Use the original equation then plug in t = 10 s ? <-

**Help**