a particle M oscillators (that is, moves back and forth) in a straight line along the horizontal axis. the position of M is given by:

Question

s(t) = 4 + 2 sin(2t)

(1) Find the velocity (v) and acceleration (a) functions.

(2) Find the initial position, initial velocity and initial acceleration of P.

(3) On graph paper (if not using a computer), accurately plot the graphs for (v), (a) and
(s). Show the time on the horizontal axis in terms of .

Answer 1

velocity=derivative of position
= -4cos(2t)

acceleration is derivative of velocity

= -8sin(2t)