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GrogVix [38]
3 years ago
7

A point moves on the x-axis in such a way that its velocity at time t (t > 0) is given by v=ln t/t . At what value of t does

v attain its maximum?
Physics
1 answer:
Olenka [21]3 years ago
5 0

Answer:

Explanation:

Given

Velocity of point is given by v=\frac{\ln t}{t}

To get maximum or minimum velocity differentiate v w.r.t t

\frac{\mathrm{d} v}{\mathrm{d} t}=\frac{\frac{1}{t}\times t-1\times \ln(t)}{t^2}

so 1-\ln (t) should be equal to zero

\ln (t)=1

t=e

i.e. t=2.718\ s

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