### Home > CALC > Chapter 11 > Lesson 11.1.3 > Problem11-38

11-38.
1. Multiple Choice: A racer with a five foot head start runs with an acceleration of a(t) = 6t ft/sec2. At t = 4 seconds, her velocity was 50 feet per second and she finished the race in 9 seconds. How long was the race? Homework Help ✎

1. 734 ft

2. 737 ft

3. 747 ft

4. 750 ft

5. 752 ft

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).