Find the distance

Question

Find the distance, in feet, a particle travels in its first 4 seconds of travel, if it moves according to the velocity equation v(t)= -t² + 4 (in feet/sec).

Question options:

1)
2)
3)	16
4)	12

Answer 1

To find the total distance traveled given the velocity function, you would have to evaluate the following definite integral:

If you do it properly, you should get as the answer. If you have questions on how to evaluate a definite integral or why I chose the limits 0 and 4, ask a question in the comments and I will reply.