A car of mass 900kg can produce a maximum power of 45 kw. The car experiences a constant resistance to motion of magnitude 1800N.

a) Calculate the maximum speed of the car when travelling on a horizontal road.

b) The car travels up a slope inclined at an angle of 4 to the horizontal. Assuming maximum power is employed, calculate, correct to two decimal places, the acceleration of the car at the instant when its speed is 15m/s

c) The car travels a distance of 800m. Calculate the work done against resistance.

Ok for part a i guess i should do something with the equation Power = force * velocity ???

not sure how to do parts b and c