Velocity of the car as a function of time

[dan_and_sim]

Homework Statement

A car of mass m = 1250 kg is accelerated from rest by a constant power
P = 135 kW. The car is moving along a straight line.
Neglecting air resistance and friction, show that the velocity of the car
as a function of time is given by v(t) = sqrt 2Pt/m

then How would this change if the initial velocity was not equal to 0

Homework Equations

P=w/t
V=P/f

The Attempt at a Solution

Whats confusing me here is the sqrt and the m, i would of assumed that it should be ma as its v=P/f

 

[quenderin]

So a constant power is supplied. How much energy is supplied in a time t? Where does the energy from the power supplied go? If you know these, you should be able to get the required expression.