The displacement `y` of a particle executing periodic motion is given by `y = 4 cos^(2) ((1)/(2)t) sin(1000t)`
This expression may be considereed to be a result of the superposition of

Options

A. two motions
B. three motions
C. four motions
D. five motions

Answer

B

Explanation

Displacement of the particleis given as
`y=4cos^(2)(t//2)sin(1000t)`
`=2[2 cos^(2)(t//2)sin(1000t)]`
`=2(1+cost)sin(1000t)`
`=2sin(1000t)+2sin(1000t)cost`
`=2sin(1000t)+sin(1001t)+sin(999t)`
Thus, given equation represents the superposition of three motions.