The figure shows a graph of the velocity v as a function of time t for a system undergoing simple harmonic motion.Which one of the following graphs represents the acceleration of this system as a function of time?

A)graph a
B)graph b
C)graph c
D)graph d

Question

The figure shows a graph of the velocity v as a function of time t for a system undergoing simple harmonic motion.Which one of the following graphs represents the acceleration of this system as a function of time?

A)graph a 
B)graph b 
C)graph c 
D)graph d

Quizplus · Accepted Answer

Acceleration is the rate of change of velocity, so it is represented by the slope of the velocity graph. Graph b shows a constant slope, indicating a constant acceleration, which is consistent with simple harmonic motion. Graphs a, c, and d do not have a constant slope and do not represent the acceleration of a system undergoing simple harmonic motion.

The Figure Shows a Graph of the Velocity V as a Function