Question

A car is moving on a road such that its engine delivers power, proportional to velocity of the body. If initial velocity is zero then distance travelled by the car is proportional to?
a) v
b) v³
c) v²​

Answer 1

Answer:

Dear Student,

P = kv (given)

Also,

P = F x v

Therefore,

kv = Fv

k  = F = ma = mvdv/dx

vdv = kdx/m

Integerating both sides we get,

v^2/2 = kx/m

or

x = mv^2/2k

Here x is hence directly proportional to the square of the velocity.

Explanation: