Given the velocity and initial position of a body moving along a coordinate line at time t, find the bodys position at time t. V = 8/pi sin 4t/pi, s(pi^2) = 2
1. s = -2 cos 4t/pi + 3
2. s = -2 cos 4t/pi + 4
3. s = -2 cos 4t/pi + 8
4. s = -2 cos 4t/pi + 4

4. s = -2 cos 4t/pi + 4

Step-by-step explanation:

The position is the integral of the velocity.

In this question:

So

Integrating by substitution:

So

Since

Since s(pi^2) = 2 .

The cosine of 4pi is the same as the cosine of 0 = 1. So

So the correct answer is:

4. s = -2 cos 4t/pi + 4

answer: no

step-by-step explanation:

answer: get jesus in your life

step-by-step explanation: