CPM Homework Help : CALC Problem 11-38

Multiple Choice: A racer with a five foot head start runs with an acceleration of $a(t) = 6t$ ft/sec^{$^{2}$}. At $t = 4$ seconds, her velocity was $50$ feet per second and she finished the race in 9 seconds. How long was the race?

$734$ ft

$737$ ft

$747$ ft

$750$ ft

$752$ ft

Hint:

Use $v(4) = 50$ to solve for $C$ .
$d(t)=\int(3t^2+2)dt=t^3+2t+C$

Use $d(0) = 5$ to solve for $C$ .
Use your equation for $d(t)$ to evaluate $d(9)$ .