1.

If `s=4t+(1)/(t)` is the equation o motion of a particle, then the acceleration when velocity vanishes, is

Answer» Correct Answer - B
We have,
`s=4t+(1)/(t)implies(ds)/(dt)=4-(1)/(t^(2))and (d^(2)s)/(dt^(2))=(2)/(t^(3))`
Now,
Velocity = `0 implies (ds)/(dt)=0implies 4-(1)/(t^(2))=0impliest=(1)/(2)`
`therefore ("Acceleration at t ="(1)/(2))=((d^(2)s)/(dt^(2)))_(t=(1)/(2))=(2)/(((1)/(2))^(3))=16`


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