- (a) A car of mass 1600 kg accelerates from rest.
The graph shows how the resultant force F acting in the direction of motion of the car varies with the distance d travelled by the car.

(i) State what is represented by the area under the graph. [1]
(ii) Calculate the final speed of the car. [2]
(Question 1 continued)
A different car travels on a horizontal road at a constant speed of 45 ms⁻¹. The engine of the car develops a power of 140 kW. The resistive force F_d acting on the car is given by
F_d = cv²
where v is the speed of the car and c is a constant.
(b) Determine c. State the fundamental SI unit for your answer. [3]