1 A car has mass 1200 kg . The total resistance to the car's motion is constant and equal to 250 N .
- The car is driven along a straight horizontal road with its engine working at 10 kW .
Find the acceleration of the car at the instant that its speed is \(5 \mathrm {~ms} ^ { - 1 }\).
The maximum power that the car's engine can generate is 20 kW .
- Find the greatest constant speed at which the car can be driven along a straight horizontal road.
The car is driven up a straight road which is inclined at an angle \(\theta\) above the horizontal where \(\sin \theta = 0.05\).
- Find the greatest constant speed at which the car can be driven up this road.