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IB · A · multiple choice

Space, time and motion · Question 3

Space, time and motion · Original GioPhysics question with a detailed, mark-by-mark answer guide.

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Marks
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1
Answer
Complete
Force–time graph for the resultant force on the object00.050.100.150.20010203040time t / sforce F / N
Figure 1A graph of force F / N against time t / s on gridded axes, the force axis marked 0 to 40 N and the time axis 0 to 0.20 s. The plotted line rises straight from the origin to 40 N at t = 0.10 s and falls straight back to zero at t = 0.20 s, so the trace is a triangle standing on the time axis.
multiple choice1 mark

A resultant force acts on a stationary object of mass 0.50 kg. The force–time graph is a triangle rising from zero at t = 0 to a peak of 40 N at t = 0.10 s and falling back to zero at t = 0.20 s. What is the speed of the object at t = 0.20 s?

  1. A

    4.0 m s⁻¹

  2. B

    8.0 m s⁻¹

  3. C

    16 m s⁻¹

  4. D

    20 m s⁻¹

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Answer overviewCorrect answer: B — 8.0 m s⁻¹
01

Answer and reasoning

1 mark
How to approach it

Predict from the governing principle before looking for a matching option. Then reject alternatives by checking direction, units, limiting behaviour or the physical meaning of each statement.

  1. 1

    The correct choice is B: 8.0 m s⁻¹

  2. 2

    The impulse is the area under the graph, ½ × 0.20 × 40 = 4.0 N s, and dividing by the mass gives 8.0 m s⁻¹. C treats the graph as a rectangle of height 40 N; A stops at the impulse and forgets to divide by the mass.

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