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Question

The distance x of a particle moving in one-direction, under the action of a constant force is related to time by equation
t=x+3
where x is in metres, t is in seconds.
Find the displacement of the particle when its velocity is zero.

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Solution

The equation of time is given as,

t=x+3

x=t3

x=t26t+9

The velocity is given as,

dxdt=2t6

When the velocity is zero, it can be written as,

0=2t6

t=3

The displacement at 3s is given as,

x=33

x=0

Thus, the displacement of the particle is zero, when its velocity is zero.


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