1.

The distance x covered by a body moving in a straight line in time is given by the relation 2 + 3x = t. If is the velocity of the body at a certain instant of time, its acceleration will be

Answer»

`-v^(3)`
`-3v^(3)`
`=2V^(3)`
`-4v^(3)`

Solution :`2X^(2)+3x=t`
Differetaiating both side w.r.t time,
`:. 4X(dx)/(dt)+3(dx)/(dt)=1`
Since `v=(dx)/(dt) :. 4x v+3v=1`
`(4x+3)v=1 implies 4x+3=(1)/(v)`
`implies a=(-4v^(2))/(1//v)=-4v^(3)`


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