Question

The velocity of an object is given by v=4(sqrt(t+1)) (m/hr). Approximate the displacement of the object on the interval [0,15], for n=5. Use whatever grid points you find convenient to compute the height of the rectangles.

Answer 1

First you integrate to find the position equation. then compute the definite integral over the range 0 to 15.

Answer 2

I got 8/3 (t+1)^(3/2)+C. So, use [0,15], right?

Answer 3

yeah, and in this case you don't even have to solve for C because the two C's cancel when computing the definite integral

Answer 4

u got it albert

Answer 5

and I did get the same value of the integral as you did. (checked using wolfram alpha, which can do both definite and indefinite integrals)

Answer 6

I'm having problems finding the definite integral. :| lol

Answer 7

168?