Answer
See answer.The displacement and velocity vectors are in the same direction when the oscillator is moving away from its equilibrium position.
The displacement and acceleration vectors are never in the same direction.
Work Step by Step
The displacement and velocity vectors are in the same direction when the oscillator is moving away from its equilibrium position. This can be seen in Figure 11-10. The displacement and velocity vectors are in the same direction when they have the same sign.
The displacement and acceleration vectors are never in the same direction. This can be seen in Figure 11-10. The displacement and acceleration vectors are in the same direction when they have the same sign, but that never happens.