Discia GCSE Maths › Algebra › Velocity Time Graphs

Velocity Time Graphs worksheet

10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

10 questions 50 marks Sheet 1
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  1. 5 marks

    The velocity-time graph shows \(18\) seconds of a car's journey along a straight road.

    A velocity-time graph rising to a plateau and then falling back to zero24681012141618246810121416180time (s)velocity (m/s)
    (a)

    Write down the greatest velocity of the car.

    (b)

    Work out the acceleration of the car during the first \(4\) seconds.

    (c)

    Work out the deceleration of the car during the last \(8\) seconds.

  2. 5 marks

    A train sets off from a station, travels at a steady velocity, then slows to a stop at the next station.

    A velocity-time graph shaped like a trapezium, from zero up to a plateau and back to zero24681012141618202468100time (s)velocity (m/s)
    (a)

    Calculate the distance the train travels while it is moving at a steady velocity.

    (b)

    Calculate the total distance the train travels in the \(20\) seconds.

  3. 5 marks

    A van is travelling along a straight road. The graph shows its velocity over \(8\) seconds.

    A velocity-time graph holding a steady velocity, dropping to a lower velocity, then holding that2468246810121416182022240time (s)velocity (m/s)
    (a)

    Work out the deceleration of the van between \(2\) seconds and \(6\) seconds.

    (b)

    Work out the distance the van travels between \(2\) seconds and \(6\) seconds.

  4. 5 marks

    A car joins a motorway from rest. The graph shows its velocity for the first \(14\) seconds.

    A velocity-time graph rising at one rate, then at a different rate, then levelling off2468101214246810121416182022240time (s)velocity (m/s)
    (a)

    Find the acceleration of the car between \(6\) seconds and \(10\) seconds.

    (b)

    Find the total distance the car travels in the \(14\) seconds.

  5. 5 marks

    A train leaves a station and travels along a straight track.

    It accelerates uniformly from rest to \(12\) m/s in \(8\) seconds.

    It then travels at a steady \(12\) m/s for \(90\) seconds.

    It then decelerates uniformly, coming to rest at the next station after a further \(10\) seconds.

    (a)

    Work out the total distance the train travels.

    (b)

    Work out the average speed of the train for the whole journey.

  6. 5 marks

    The velocity-time graph shows \(14\) seconds of a car's journey along a straight road.

    A velocity-time graph rising to a plateau and then falling back to zero246810121424681012141618202224260time (s)velocity (m/s)
    (a)

    State the greatest velocity of the car.

    (b)

    Calculate the acceleration of the car during the first \(4\) seconds.

    (c)

    Calculate the deceleration of the car during the last \(6\) seconds.

  7. 5 marks

    A train sets off from a station, travels at a steady velocity, then slows to a stop at the next station.

    A velocity-time graph shaped like a trapezium, from zero up to a plateau and back to zero246810121451015200time (s)velocity (m/s)
    (a)

    Work out the distance the train travels while it is moving at a steady velocity.

    (b)

    Work out the total distance the train travels in the \(14\) seconds.

  8. 5 marks

    A motorcycle is travelling along a straight road. The graph shows its velocity over \(16\) seconds.

    A velocity-time graph holding a steady velocity, dropping to a lower velocity, then holding that246810121416246810121416182022242628303234360time (s)velocity (m/s)
    (a)

    Work out the deceleration of the motorcycle between \(2\) seconds and \(10\) seconds.

    (b)

    Work out the distance the motorcycle travels between \(2\) seconds and \(10\) seconds.

  9. 5 marks

    A car joins a motorway from rest. The graph shows its velocity for the first \(14\) seconds.

    A velocity-time graph rising at one rate, then at a different rate, then levelling off246810121424681012141618202224260time (s)velocity (m/s)
    (a)

    Work out the acceleration of the car between \(6\) seconds and \(12\) seconds.

    (b)

    Work out the total distance the car travels in the \(14\) seconds.

  10. 5 marks

    A train leaves a station and travels along a straight track.

    It accelerates uniformly from rest to \(15\) m/s in \(10\) seconds.

    It then travels at a steady \(15\) m/s for \(117\) seconds.

    It then decelerates uniformly, coming to rest at the next station after a further \(8\) seconds.

    (a)

    Work out the total distance the train travels.

    (b)

    Work out the average speed of the train for the whole journey.

Answers

  1. (a) \(16\ \text{m/s}\)
    (b) \(4\ \text{m/s}^2\)
    (c) \(2\ \text{m/s}^2\)
  2. (a) \(80\ \text{m}\)
    (b) \(120\ \text{m}\)
  3. (a) \(3\ \text{m/s}^2\)
    (b) \(64\ \text{m}\)
  4. (a) \(4\ \text{m/s}^2\)
    (b) \(162\ \text{m}\)
  5. (a) \(1188\ \text{m}\)
    (b) \(11\ \text{m/s}\)
  6. (a) \(24\ \text{m/s}\)
    (b) \(6\ \text{m/s}^2\)
    (c) \(4\ \text{m/s}^2\)
  7. (a) \(90\ \text{m}\)
    (b) \(150\ \text{m}\)
  8. (a) \(3\ \text{m/s}^2\)
    (b) \(176\ \text{m}\)
  9. (a) \(3\ \text{m/s}^2\)
    (b) \(156\ \text{m}\)
  10. (a) \(1890\ \text{m}\)
    (b) \(14\ \text{m/s}\)

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