Page 7 - SP015 Past Years PSPM Chapter 1 -5 Ver.2020

PSPM SP015

PSPM 2009/2010 SF017/2 No. 1

17. A particle moving with uniform acceleration a has initial velocity u. With the aid of a
velocity-time graph, show that the displacement s after time t is given by

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s  ut  1 at [4 m]
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PSPM 2010/2011 SF017/2 No. 10

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18. A drunken motorist who is moving at a constant velocity of 90 km h passes a
stationary police patrol car. The patrol car immediately gives chase at a constant
acceleration and catches up with the motorist after a distance of 10 km.

(a) Calculate the time taken by the patrol car to catch up with the motorist. [2 m]

(b) Calculate the acceleration of the patrol car. [3 m]

(c) Calculate the velocity of the patrol car when it catches up with the motorist. [3 m]

(d) On the same axes, sketch and label graphs of displacement versus time for both
vehicles. [5 m]

(e) Given the power of police car is 180 kW, calculate the force of the engine of the
car at the instant it overtakes the motorist. [2 m]

UPS 2011/2012 SF016 No. 1(a)(ii)

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19. An object starts from rest, accelerates at 1.2 m s for 3.0 s and then moves at a constant
velocity for 6.0 s. Sketch the velocity-time graph and determine the final velocity.
[3 m]

PSPM 2011/2012 SF016/2 No. 2(a)

20. A plane travels at three times the speed of sound. If the speed of sound in air is
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343 m s , how far it travels in 10 minutes? [2 m]

UPS 2012/2013 SF016 No. 1 Edited

21. A train moves from rest and stops at a station in 20 minutes. For the first 5 minutes, the
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train moves with constant acceleration of 0.08 m s . Its speed remains constant until a
braking force is exerted to stop it. The time of braking is 2 minutes.

(a) Sketch a graph of velocity against time for the whole journey. [3 m]

(b) Calculate the maximum speed of the train. [3 m]

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