Mathematics 9709/42 — May/June 2020

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

questions

marks

minutes

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

Q1Kinematics of Motion in a Straight LineFree sample

A tram starts from rest and moves with uniform acceleration for $20\text{ s}$ . The tram then travels at a constant speed, $V\text{ m s}^{-1}$ , for $170\text{ s}$ before being brought to rest with a uniform deceleration of magnitude twice that of the acceleration. The total distance travelled by the tram is $2.775\text{ km}$ .

(a)

Sketch a velocity-time graph for the motion, stating the total time for which the tram is moving.

(b)

Find $V$ .

(c)

Find the magnitude of the acceleration.

The rest of this paper

5 more questions

Q2Forces and Equilibrium6M
Q3Forces and Equilibrium8M
Q4Momentum · Energy, Work and Power10M
Q5Energy, Work and Power · Newton's Laws of Motion · Forces and Equilibrium10M
Q6Kinematics of Motion in a Straight Line10M

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