CAIE M1 2007 June — Question 3

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2007
SessionJune
TopicWork, energy and Power 1

3 A car travels along a horizontal straight road with increasing speed until it reaches its maximum speed of \(30 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The resistance to motion is constant and equal to \(R \mathrm {~N}\), and the power provided by the car's engine is 18 kW .
  1. Find the value of \(R\).
  2. Given that the car has mass 1200 kg , find its acceleration at the instant when its speed is \(20 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).