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Mechanics

The equations of uniformly accelerated motion

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Overview

Recall questions on the four suvat equations, when they may be used, which to choose when time is not given, and the sign convention for vertical motion.

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Answer each one before you reveal it.

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Numbers

What are the equations of motion linking displacement, velocity, acceleration and time?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Under what conditions may the equations of uniformly accelerated motion be used?

    Model answer

    They apply only when the acceleration is constant in both magnitude and direction and the motion is along a straight line.

  2. 2

    State the equation of motion linking displacement, initial velocity, final velocity and time:

    Model answer

    The equation is s = (u + v)t/2.

  3. 3

    State the equation of motion linking final velocity, initial velocity, acceleration and time:

    Model answer

    The equation is v = u + at.

  4. 4

    State the equation of motion giving displacement in terms of initial velocity, acceleration and time:

    Model answer

    The equation is s = ut + ½at².

  5. 5

    State the equation of motion that does not contain time:

    Model answer

    The equation is v² = u² + 2as.

  6. 6

    Which equation of motion is most useful when time is neither given nor asked for?

    Model answer

    v² = u² + 2as, because it links the two velocities, the acceleration and the displacement without involving time.

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AThe equation is s = (u + v)t/2.
BThe equation is v = u + at.
CThe equation is s = ut + ½at².

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