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Mechanics

Projectile motion

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Overview

Recall questions on treating horizontal and vertical motion separately, what links them, the velocity at the highest point, and how air resistance changes the range.

What you need to know

Answer each one before you reveal it.

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Key term

What quantity links the horizontal and vertical motions of a projectile?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Why can the horizontal and vertical motions of a projectile be treated separately?

    Model answer

    They are perpendicular components, and with only the vertical force of gravity acting, neither motion can affect the other.

  2. 2

    What is the horizontal acceleration of a projectile moving freely under gravity?

    Model answer

    It is zero, so the horizontal component of velocity stays constant throughout the flight.

  3. 3

    What quantity links the horizontal and vertical motions of a projectile?

    Model answer

    The time, which is the same for both motions.

  4. 4

    A ball rolls horizontally off a bench 1.25 m high at 3.0 m s⁻¹. How long does it take to reach the floor, and how far horizontally does it travel?

    Model answer

    The time is √(2 × 1.25/9.81) = 0.50 s, so the horizontal distance is 3.0 × 0.50 = 1.5 m.

  5. 5

    What is the vertical component of a projectile's velocity at the highest point of its path?

    Model answer

    It is zero, although the horizontal component is unchanged so the projectile is still moving.

  6. 6

    A ball is kicked from level ground at 20 m s⁻¹ at 30° above the horizontal. Ignoring air resistance, what are the time of flight and the range?

    Model answer

    The vertical component is 20 sin 30° = 10 m s⁻¹, giving a time of flight of 2 × 10/9.81 = 2.0 s, and a range of 20 cos 30° × 2.0 = 35 m.

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