AQA AS Paper 1 2019 June — Question 11

Exam BoardAQA
ModuleAS Paper 1 (AS Paper 1)
Year2019
SessionJune
TopicDifferentiating Transcendental Functions

11 A ball moves in a straight line and passes through two fixed points, \(A\) and \(B\), which are 0.5 m apart. The ball is moving with a constant acceleration of \(0.39 \mathrm {~m} \mathrm {~s} ^ { - 2 }\) in the direction \(A B\).
The speed of the ball at \(A\) is \(1.9 \mathrm {~ms} ^ { - 1 }\)
Find the speed of the ball at \(B\).
Circle your answer.
\(2 \mathrm {~m} \mathrm {~s} ^ { - 1 }\)
\(3.2 \mathrm {~m} \mathrm {~s} ^ { - 1 }\)
\(3.8 \mathrm {~m} \mathrm {~s} ^ { - 1 }\)
\(4 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) A particle \(P\), of mass \(m\) kilograms, is attached to one end of a light inextensible string.
The other end of this string is held at a fixed position, \(O\).
\(P\) hangs freely, in equilibrium, vertically below \(O\).
Identify the statement below that correctly describes the tension, \(T\) newtons, in the string as \(m\) varies. Tick \(( \checkmark )\) one box.
\(T\) varies along the string, with its greatest value at \(O\) □
\(T\) varies along the string, with its greatest value at \(P\) □
\(T = 0\) because the system is in equilibrium □
\(T\) is directly proportional to \(m\) □
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