M2 mechanics helpp on motion on inclinee pleaseee :)

The frictional resistance of the motion of a vehicle of mass 750 kg is proportional to the square of its speed(I found no use of this in this question; if you do pllleasee pls explain)
a. calculate the power of exerted by the engine of the car when tascending a hill of inclination arc sin 1/10 at a steady speed of 25m/s, when the resistance is 650 N

b. (i) find the immediate acceleration of the vehicle

b.(ii) if the power exerted by the engine remains constant, determine the maximum speed of the vehicle........

these are my answers : a. 35000J/s
b.(i) 1m/s^2
b(ii) 53.85 m/s or 194km/h

Thank you in advance :)

a) You have the power correct - the work done per second to overcome the gravity force and the resistance force ( 34625 W )

I cannot see that this power will produce any acceleration. The car is going at constant speed. The calculated power is just the power needed to maintain that constant speed. To accelerate would need more power.

I think there is something wrong with the question. ( Or I am just too thick to see what should be done .)

IF there was some acceleration then as the speed increases the Resistance force would increase and you would have to take it into account.

But I cannot see how (b) can be attempted at all.
Sorry