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Question

A particle is moving with speed v=bx along the positive x - axis. Calculate the speed of the particle at time t=τ. (Assume that the particle is at the origin at t=0).

A
b2τ4
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B
b2τ2
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C
b2τ
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D
b2τ2
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Solution

The correct option is B b2τ2
Given, v=bx(1)
dxdt=bx
x0dxx=t0bdt
2x=bt
x=bt2
Substituting x in equation (1), we get
v=b2t2
At t=τ, v=b2τ2


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