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Question

The displacement x of a particle moving in one dimension is related to time t by the equation t=x+3 where x is in metres and t in seconds. The displacement of the particle when its velocity is zero is



A

zero

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B

4 m

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C

1 m

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D

0.5 m

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Solution

The correct option is A

zero


Given that, t=x+3
x=t3
Squaring both sides, x=t26t+9
Velocity, v=dxdt=2t6
For velocity, v to be equal to zero, 2t6=0t=3 s
At t = 3 s, displacement, x=t26t+9=326×3+9=0
Hence, the correct option is (a).


Physics

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