This is part of a collection of videos showing step-by-step solutions for Edexcel A-Level Mathematics past papers.
This page covers Questions and Worked Solutions for Edexcel AS Maths Paper 1 May/June 2019, 8MA0/22.
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A small ball, P, of mass 0.8 kg, is held at rest on a smooth horizontal table and is attached
to one end of a thin rope.
The rope passes over a pulley that is fixed at the edge of the table.
The other end of the rope is attached to another small ball, Q, of mass 0.6 kg, that hangs freely below the pulley.
Ball P is released from rest, with the rope taut, with P at a distance of 1.5 m from the pulley and with Q at a height of 0.4 m above the horizontal floor, as shown in Figure 1. Ball Q descends, hits the floor and does not rebound.
The balls are modelled as particles, the rope as a light and inextensible string and the pulley as small and smooth.
Using this model,
(a) show that the acceleration of Q, as it falls, is 4.2 m s–2
(b) find the time taken by P to hit the pulley from the instant when P is released.
(c) State one limitation of the model that will affect the accuracy of your answer to part (a).
A particle, P, moves along a straight line such that at time t seconds, t ≥ 0, the velocity of P,
v m s–1, is modelled as
v = 12 + 4t – t2
(a) the magnitude of the acceleration of P when P is at instantaneous rest,
(b) the distance travelled by P in the interval 0 ≤ t ≤ 3
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