The top graph represents the variation of displacement with time for a particle executing simple harmonic motion. Which curve in the bottom graph represents the variation of acceleration with time for the same particle?
A) 1
B) 2
C) 3
D) 4
E) None of these is correct.

Question

The top graph represents the variation of displacement with time for a particle executing simple harmonic motion. Which curve in the bottom graph represents the variation of acceleration with time for the same particle? 
A) 1 
B) 2 
C) 3 
D) 4 
E) None of these is correct.

Quizplus · Accepted Answer

Acceleration is maximum at the extreme positions and zero at the equilibrium position. Therefore, the curve that matches this criteria is B. Curve 1 and 4 are incorrect because acceleration is not zero at the extreme positions. Curve 3 is incorrect because acceleration is not constant throughout the motion.

The Top Graph Represents the Variation of Displacement with Time