What is the kinetic energy gained by a 500kg car accelerating from rest to 27m/s?

1/2=mv^2 > 1/2(500)(27m/s)^2= 182,250J
a. What is the power output in watts of the engine that causes this acceleration in 4.00s?
27m/s*4s= 108m/s^2
1/2(500)(108)= 27,000 Watts
b. How many horsepower is this?
27000W/ 125 Horsepower = 216HP

Did I do these problems correctly?

power in watts = energy in Joules / time in seconds