Physics: Apoint 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?

Apoint moves on the x-axis in such a way that its

brownkat002

15.01.2022

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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jm900643

14.02.2020

7.5 seconds

Explanation:

because wattsXtime=Joules so 120X__=900. 900 divided by 120= 7.5

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