4 A car has mass 1000 kg and travels on a straight horizontal road.
The maximum speed of the car on this road is \(48 \mathrm {~ms} ^ { - 1 }\)
In a simple model, it is assumed that the car experiences a resistance force that is proportional to its speed.
When the car travels at \(20 \mathrm {~m} \mathrm {~s} ^ { - 1 }\), the magnitude of the resistance force is 600 newtons.
4
- Show that the maximum power of the car is 69120 W
4 - Find the maximum acceleration of the car when it is travelling at \(25 \mathrm {~ms} ^ { - 1 }\)
4 - Find the maximum acceleration of the car when it is travelling at \(3 \mathrm {~m} \mathrm {~s} ^ { - 1 }\)
4
- Comment on the validity of the model in the context of your answers to parts (b) and (c).