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The displacement of a body is gives to b...

The displacement of a body is gives to be proporticonal to the cube of time elapsed. What is the nature of the acceleration of the body ?

Text Solution

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Given, ` A prop t^(3) or S =kt^(3)`
v elocity, ` v=(ds)/(dt) =3 kt^(2)`
Acceleration, ` a = (dv)/(dt) 6 kt i.e. a prop t`
Thus acceleration increases with time.
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Knowledge Check

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