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Projectiles
Lesson 65 of 75
Review

Projectile modelling

Objective. Evaluate assumptions such as negligible air resistance.

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  2. 2. Worked example
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Learn: the key idea

Projectile modelling evaluates the simplifying assumptions behind standard projectile equations, chiefly that air resistance is negligible, the object is a point mass (no spin or lift effects), gravity is constant, and the ground is flat and at the same height as the launch point. Evaluating a model means discussing how removing or relaxing these assumptions would change the real behaviour, such as air resistance reducing the range and maximum height compared with the idealised parabola, especially for light or fast-moving objects. For example, a golf ball's true range is shorter than the calculus prediction once air resistance is considered.

Worked example

Explain, using projectile modelling assumptions, why a real thrown shuttlecock lands closer than the range predicted by standard projectile equations.

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Illustrated card showing ?
  1. 1Standard equations assume negligible air resistance
  2. 2A shuttlecock has low mass and high surface area, so air resistance is significant
  3. 3Air resistance decelerates it horizontally and vertically throughout flight
  4. 4This reduces both the time of flight and the horizontal range below the ideal prediction

Answer: Air resistance, significant for a light shuttlecock, reduces its actual range below the idealised value

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Common mistake. Students assume the idealised model is always accurate, without discussing how air resistance or object size would affect real results. Always state which assumptions were made and how violating them would change the outcome.

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