A particle moves in simple harmonic motion according to x = 2cos(50t), where x is in meters and t is in seconds.Its maximum velocity is:
A)100 sin(50t)m/s
B)100 cos(50t)m/s
C)100 m/s
D)200 m/s
E)none of these

Question

Quizplus · Accepted Answer

The maximum velocity in simple harmonic motion is given by the amplitude multiplied by the angular frequency. Here, the amplitude is 2 meters, and the angular frequency (from the cosine function's coefficient) is 50 s^-1. Thus, the maximum velocity is 2 * 50 = 100 m/s.

A Particle Moves in Simple Harmonic Motion According to X