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Question

The position of a particle moving in the xy-plane at any time is given by x=(3t2āˆ’6t) metres, y=(t2āˆ’2t) metres. Select the correct statement about the moving particle from the following

A
The acceleration of the particle is zero at t = 0 second
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B
The velocity of the particle is zero at t = 0 second
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C
The velocity of the particle is zero at t = 1 second
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D
The velocity and acceleration of the particle are never zero
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Solution

The correct option is C The velocity of the particle is zero at t = 1 second
vx=dxdt=ddt(3t26t)=6t6. At t=1,vx=0
vy=dydt=ddt(t22t)=2t2. At t=1,vy=0
Hence v=v2x+v2y=0

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