Mathematics 9709/41 — October/November 2010

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

questions

marks

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

Q1Kinematics of Motion in a Straight LineFree sample

Fig. 1

Two particles $P$ and $Q$ move vertically under gravity. The graphs show the upward velocity $v\, \text{m}\,\text{s}^{-1}$ of the particles at time $t\,\text{s}$ , for $0 \le t \le 4$ . $P$ starts with velocity $V\, \text{m}\,\text{s}^{-1}$ and $Q$ starts from rest.

(i)

Find the value of $V$ .

(ii)

Given that $Q$ reaches the horizontal ground when $t = 4$ , find
the speed with which $Q$ reaches the ground,

(iii)

the height of $Q$ above the ground when $t = 0$ .

The rest of this paper

6 more questions

Q2Energy, Work and Power · Newton's Laws of Motion5M
Q3Forces and Equilibrium5M
Q4Kinematics of Motion in a Straight Line7M
Q5Kinematics of Motion in a Straight Line · Energy, Work and Power9M
Q6Energy, Work and Power9M
Q7Forces and Equilibrium · Newton's Laws of Motion10M

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