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O-LevelPhysicsKinematics5054/22 · May/June 2015 · Q1114 Marks

A bungee jumper falls from a bridge above a river, as shown in Fig. 11.1. [Figure 11.1 (not to scale)] The man starts from position A in Fig. 11.1. The elastic cord starts to stretch at position C and he stops for the first time at position D. He continues to rise and fall. Fig. 11.2 shows how the velocity of the man varies with time t. [Figure 11.2]

  1. (a)(i)State what is meant by velocity.[2]
  2. (a)(ii)State the difference between a positive velocity and a negative velocity.[1]
  3. (a)(iii) 1.In the first 1.4s the acceleration is uniform. Using values from Fig. 11.2, determine the acceleration of the man in the first 1.4s. acceleration =[3]
  4. (a)(iii) 2.Comment on your value of acceleration.[1]
  5. (a)(iv) 1.State the value of t when the man is at position D.[1]
  6. (a)(iv) 2.Explain, in terms of the forces acting, why the man is accelerating upwards at D.[3]
  7. (b)(i)Fig. 11.3 shows the values for the gravitational potential energy of the man, the kinetic energy of the man and the elastic potential energy in the cord at A, C and D. You may ignore the effect of air resistance in this question. [Figure 11.3] | | gravitational potential energy/J | kinetic energy/J | elastic potential energy/J | |---|---|---|---| | position A | 20000 | 0 | 0 | | position C | 15000 | | 0 | | position D | 0 | 0 | | Complete Fig. 11.3 to show the kinetic energy of the man at C and the elastic potential energy in the cord at D.[2]
  8. (b)(ii)The man has a mass of 50 kg. The gravitational field strength g is 10N/kg. Using values from Fig. 11.3, calculate the vertical distance between A and C. distance =[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.

  1. [1] (a) (i) distance (travelled) per second or speed
  2. distance (travelled) per second/speed in a given direction
  3. or displacement/time
  4. or change in displacement per unit time
  5. or displacement (travelled/covered) per unit time
  6. [1] (a) (i) or rate of change of displacement
  7. [1] (a) (ii) opposite direction
  8. [1] (a) (iii) 1. value seen for v and corresponding value of t
  9. 0 < t ≤ 1.4 and 0 < v ≤ 14
  10. [1] (a) (iii) 1. (a=) v-u/t algebraic or numerical equation
  11. [1] (a) (iii) 1. 10 m/s²
  12. [1] (a) (iii) 2. sensible comment
  13. [1] (a) (iv) 1. 4(.0s)
  14. [1] (a) (iv) 2. weight or force due to gravity mentioned (at D)
  15. [1] (a) (iv) 2. mention of
  16. • upwards force (on man) from cord
  17. • tension / elastic force from cord (on man)
  18. [1] (a) (iv) 2. force in cord/upward force/tension greater than downwards force
  19. or resultant force upwards
  20. [1] (b) (i) 5000
  21. [1] (b) (i) 20 000
  22. [1] (b) (ii) (h = ) PE/mg or 5000 = 50 × 10 × h
  23. [1] (b) (ii) 10 m

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About this question

Topic
Kinematics, O-Level Physics (syllabus 5054). Structured question, 14 marks.
Source
O-Level Physics, May/June 2015 Paper 2 Variant 2, question 11.

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