A boy pushes a lawn mower (m=17.9kg) initially at rest on a horizontal lawn by applying a force of 32.9N to the handles in the direction of the handle, which forms an angle of 35.1 degree above the 'horizontal. The magnitude of the acceleration of the mower is 1.37 m/s^2 and lasts 0.58s, after which the mower moves at constant vector speed. determine the magnitude of: 

a) the normal force exerted on the mower

b) the frictional force exerted on the mower

c) the maximum vector speed of the mower

d) the force applied by the boy when the vector speed is constant.