An object moves along a line with a velocity in m/s given by v(t) = 8 cos (πt/6). Its initial position is s(0) = 0.

a. Graph the velocity function.

b. The position of the object is given by Find the position function, for t ≥ 0.

c. What is the period of the motion—that is, starting at any point, how long does it take the object to return to that position?

Transcribed Image Text:

s(t) = J,v(y) dy, for 1 2 0. for t 2 0.