The Acceleration of a Race Car During the First 35

Multiple Choice

The acceleration of a race car during the first 35 seconds of a road test is modeled by where t is the number of seconds since the test began. Assume the velocity and distance were both zero at the beginning of the road test. Calculate, to the nearest foot, the distance traveled during the first 35 seconds of the road test.

A) 708 ft
B) 259 ft
C) 1,552 ft
D) 4,558 ft
E) 9,071 ft