CAIE M1 2011 June — Question 2

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2011
SessionJune
TopicWork, energy and Power 1

2 A car of mass 1250 kg is travelling along a straight horizontal road with its engine working at a constant rate of \(P \mathrm {~W}\). The resistance to the car's motion is constant and equal to \(R \mathrm {~N}\). When the speed of the car is \(19 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) its acceleration is \(0.6 \mathrm {~m} \mathrm {~s} ^ { - 2 }\), and when the speed of the car is \(30 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) its acceleration is \(0.16 \mathrm {~m} \mathrm {~s} ^ { - 2 }\). Find the values of \(P\) and \(R\).