CAIE M1 2015 June — Question 3

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2015
SessionJune
TopicWork, energy and Power 1

3 A car of mass 860 kg travels along a straight horizontal road. The power provided by the car's engine is \(P\) W and the resistance to the car's motion is \(R \mathrm {~N}\). The car passes through one point with speed \(4.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and acceleration \(4 \mathrm {~m} \mathrm {~s} ^ { - 2 }\). The car passes through another point with speed \(22.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and acceleration \(0.3 \mathrm {~m} \mathrm {~s} ^ { - 2 }\). Find the values of \(P\) and \(R\).