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VaioZ
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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 hereb.) 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