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 20W 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 2P while moving downhill at speed v then value of v is:
a. 20 ms−1
b. 5 ms−1
c. 15 ms−1
d. 10 ms−1