5 A car of mass 1000 kg has a maximum speed of \(40 \mathrm {~ms} ^ { - 1 }\) when travelling on a straight horizontal race track. The maximum power output of the car's engine is 48 kW
The total resistance force experienced by the car can be modelled as being proportional to the car's speed. Find the maximum possible acceleration of the car when it is travelling at \(25 \mathrm {~ms} ^ { - 1 }\) on the straight horizontal race track. Fully justify your answer.