The Displacement of an Object Oscillating on a Spring Is $\omega$

Multiple Choice

The displacement of an object oscillating on a spring is given by x(t) = x_mcos( $\omega$ t + $\phi$ ) . If the object is initially displaced in the negative x direction and given a negative initial velocity, then the phase constant $\phi$ is between:

A) 0 and $\pi$ /2 radians
B) $\pi$ /2 and $\pi$ radians
C) $\pi$ and 3 $\pi$ /2 radians
D) 3 $\pi$ /2 and 2 $\pi$ radians
E) none of the above ( $\phi$ is exactly 0, $\pi$ /2, $\pi$ , or 3 $\pi$ /2 radians)