CAIE M1 2017 March — Question 4

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2017
SessionMarch
TopicWork, energy and Power 1

4 A car of mass 900 kg is moving on a straight horizontal road \(A B C D\). There is a constant resistance of magnitude 800 N in the sections \(A B\) and \(B C\), and a constant resistance of magnitude \(R \mathrm {~N}\) in the section \(C D\). The power of the car's engine is a constant 36 kW .
  1. The car moves from \(A\) to \(B\) at a constant speed in 120 s . Find the speed of the car and the distance \(A B\).
    The car's engine is switched off at \(B\).
  2. The distance \(B C\) is 450 m . Find the speed of the car at \(C\).
  3. The car comes to rest at \(D\). The distance \(A D\) is 6637.5 m . Find the deceleration of the car and the value of \(R\).
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