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A particle is moving along the axis unde...

A particle is moving along the axis under the influnence of a force given by `F = -5x + 15`. At time `t = 0`, the particle is located at `x = 6` and having zero velocity it take `0.5` second to reach the origin for the first time. The equation of mnotion of the particle can be respected by

A

`x = 3 + 3 cospit`

B

`x = 3 cospit`

C

`x = 3 + 3 sinpit`

D

`x = 3 + 3 cos(2pit)`

Text Solution

Verified by Experts

The correct Answer is:
D
From equation:k=5.
As at t=0.5 second, the particle reaches the frist time.Substiuting:t=0.5 in both equations
`x=3+3cos(x.(1)/(2))=3 to`not sattisfied and` x=3+3cos(2pi+.(1)/(2))=0 to`satisfied. Hence ,the equation of particl e is `x=3+3cos(2pit)`
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