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A particle moves with a tangential accel...

A particle moves with a tangential acceleration `a_(t)=vec(a).hat(v)` where `vec(a)=(5hat(i)) m//s^(2)`. If the speed of the particle is zero at `x=0`, then find v (in `m//s`) at `x=4.9 m`.

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The correct Answer is:
7
As `dvd=vec(a).vec(d)r=adx=5dxrArr int_(0)^(v)vdv=5 int_(0)^(4.9)dxrArr v^(2)/2=5(4.9)rArr v^(2)=49rArrv=7 m//s`
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