Question

A particle moving along the x-axis in simple harmonic motion starts from the equilibrium position, the origin, at time t=0 and moves to the right. The position of the particle after time, t, is given by the following equation: x=2.0 sin 3πt m

Calculate:

A) the maximum velocity of the motion

B) the acceptation of the object after 2 seconds

C) the distance traveled by the particle from t=0s to t=2s

Answer 1

a)

$$V=2(3\pi)=18.8\frac{m}{s}$$

b)

$$a=-2(3\pi)^2\sin 3(2)π=0\frac{m}{s^2}$$

c)

$$X=0\ m$$