Does Constant Power Result in Constant Acceleration for a Car?

[mnandlall]

Homework Statement

Car, mass 1000kg, accelerates from rest in straight line using constant mechanical power of 60kW.
What is speed and acceleration after 5s.

Homework Equations

W = Kf - Ki
P= dE/dt

The Attempt at a Solution

I've already worked out that the speed will be 24.5m/s. What I'm really wondering is if a constant mechanical power results in a constant acceleration. Any help would be appreciated. Thanks.

 

[mnandlall]

I attempted to do the following:

F = ma, but F is provided by the motor. Therefore, P = Fv
60 000W = 24.5 x F
F = 2450 N

2450N = 1000kg x a
a = 2.45m/s^2

Does this seem like a reasonable approach?