Mathematics 9709/42 — May/June 2014

Cambridge AS Level · Mechanics · worked solutions for every part, with the mark scheme

questions

marks

minutes

Topics Kinematics of Motion in a Straight Line · Newton's Laws of Motion · Forces and Equilibrium · Energy, Work and Power

Q1Energy, Work and PowerNewton's Laws of MotionFree sample

A car of mass $600\text{ kg}$ travels along a straight horizontal road. The resistance to the car’s motion is constant and equal to $R\text{ N}$ .

(i)

Find the value of $R$ , given that the car’s acceleration is $1.4\text{ m s}^{-2}$ at an instant when the car’s speed is $18\text{ m s}^{-1}$ and its engine is working at a rate of $22.5\text{ kW}$ .

(ii)

Find the rate of working of the car’s engine when the car is moving with a constant speed of $15\text{ m s}^{-1}$ .

The rest of this paper

6 more questions

Q2Kinematics of Motion in a Straight Line5M
Q3Forces and Equilibrium6M
Q4Kinematics of Motion in a Straight Line7M
Q5Energy, Work and Power · Forces and Equilibrium8M
Q6Kinematics of Motion in a Straight Line · Newton's Laws of Motion9M
Q7Newton's Laws of Motion · Forces and Equilibrium · Kinematics of Motion in a Straight Line10M

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