A car of weight $W$ is on an inclined road that rises by $100\,m$ over a distance of $1\,Km$ and applies a constant frictional force $\frac {W}{20}$ on the car. While moving uphill on the road at a speed of $10\,ms^{-1},$ the car needs power $P.$ If it needs power $\frac {P}{2}$ while moving down hill at speed $v$ then value of $v$ is ........ $ms^{-1}$
JEE MAIN 2016, Diffcult
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