Lesson MB3-MB4

MB3-MB4 Impulse and momentum Quiz: AQA Further Maths, Unit 3

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson MB3-MB4, Impulse and momentum: 20 multiple choice questions for the AQA Further Maths (7367), Unit 3: Optional application 1: mechanics, written with Revision Ninja.

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The 20 questions

  1. For a constant force F acting for time t on a body, which impulse-momentum relation holds?

    • Ft = mu - mv
    • Ft = mv + mu
    • F = m(v - u)/t^2
    • Ft = mv - mu

  2. For a variable force F(t), how is the impulse found?

    • Integrate F with respect to x
    • Multiply F by the time interval
    • Integrate F with respect to t between the two times
    • Find the change in kinetic energy

  3. In what units is impulse measured?

    • N m
    • kg m/s^2
    • J
    • N s (equivalently kg m/s)

  4. In which direction does the impulse act on a body?

    • Always in the direction of the initial velocity
    • Perpendicular to the velocity
    • Opposite to the change in velocity
    • In the direction of the change in velocity

  5. What is the change in momentum of a 0.5 kg ball whose velocity changes from 4 m/s to -6 m/s?

    • -5 kg m/s
    • 5 kg m/s
    • -10 kg m/s
    • 10 kg m/s

  6. In one dimension, which integral gives the impulse of a variable force F(t) between times t1 and t2?

    • integral from t1 to t2 of F dt
    • F(t2) - F(t1)
    • integral from t1 to t2 of F^2 dt
    • integral from t1 to t2 of F dx

  7. A 2 kg body starts from rest and is acted on by a constant force of 10 N for 3 s. What is its final velocity?

    • 5 m/s
    • 15 m/s
    • 1.5 m/s
    • 30 m/s

  8. Find the impulse of the force F = 3t for 0 <= t <= 2.

    • 6 N s
    • 3 N s
    • 12 N s
    • 4 N s

  9. Find the impulse of the force F = 4 - 2t for 0 <= t <= 2.

    • 2 N s
    • 8 N s
    • 4 N s
    • 0 N s

  10. A ball of mass 0.2 kg hits a wall at 5 m/s perpendicular to it and rebounds at 3 m/s. What is the magnitude of the impulse?

    • 1.0 N s
    • 0.4 N s
    • 1.6 N s
    • 3.2 N s

  11. A 0.1 kg ball goes from rest to 20 m/s in 0.02 s when struck. What is the average force?

    • 200 N
    • 1000 N
    • 100 N
    • 10 N

  12. A constant force acts for some time and gives an impulse of 18 N s. The force is 6 N. How long does it act?

    • 3 s
    • 12 s
    • 6 s
    • 1/3 s

  13. A 3 kg particle increases its velocity from 2 m/s to 8 m/s. What is the impulse received?

    • 18 N s
    • 3 N s
    • 6 N s
    • 10 N s

  14. Find the impulse of the force F = t^2 for 0 <= t <= 3.

    • 4.5 N s
    • 3 N s
    • 27 N s
    • 9 N s

  15. Find the impulse of the force F = 6 sin(pi t) for 0 <= t <= 1.

    • 6/pi N s
    • 6 N s
    • pi N s
    • 12/pi N s

  16. A 0.4 kg particle changes velocity from +3 m/s to -5 m/s. What is the impulse?

    • 3.2 N s
    • -3.2 N s
    • -8 N s
    • -1.6 N s

  17. Find the impulse of F = 4/(t + 1) for 0 <= t <= 3.

    • ln 4 N s
    • 4 ln 3 N s
    • 8 ln 2 N s
    • 16/3 N s

  18. A 2 kg body moving at -3 m/s receives an impulse of 10 N s. What is its velocity afterwards?

    • -8 m/s
    • 7 m/s
    • 2 m/s
    • -5 m/s

  19. A variable force is F = 2t from t = 0 to t = a, and the impulse is 16 N s. What is a?

    • 8 s
    • 4 s
    • 16 s
    • 2 s

  20. A 1 kg mass starts from rest and receives impulse I = integral from 0 to 2 of 2t dt. What is its final speed?

    • 0 m/s
    • 4 m/s
    • 2 m/s
    • 8 m/s

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