CAIE M1 2008 November — Question 3

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2008
SessionNovember
TopicVariable Force

3 A car of mass 1200 kg is travelling on a horizontal straight road and passes through a point \(A\) with speed \(25 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The power of the car's engine is 18 kW and the resistance to the car's motion is 900 N .
  1. Find the deceleration of the car at \(A\).
  2. Show that the speed of the car does not fall below \(20 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) while the car continues to move with the engine exerting a constant power of 18 kW .