1.

An object of mass 3 kg is at rest. Now a force of vecF=6t^(2)hati+4thatj is applied on the object, then the velocity of object at t=3 second is

Answer»

`18hati+3hatj`
`18hati+6hatj`
`3hati+18hatj`
`18hati+4hatj`

SOLUTION :`F=6T^(2)hati+4thatj`
`F=ma"":.a=(BARF)/(m)=(1)/(3)(6t^(2)hati+4thatj)=2T^(2)hati+(4)/(3)thatj`
`a=(dV)/(dt)"":.v=int_(0)^(t)adt=int_(0)^(3)2t^(2)hatjdt+int_(0)^(3)(4)/(5)thatjdt=18hati+6hatj`


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