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This lesson covers projectile motion as required by the Edexcel 9MA0 A-Level Mathematics specification. A projectile moves in two dimensions under gravity alone — this combines horizontal constant velocity with vertical constant acceleration.
The standard projectile model assumes:
If a projectile is launched with speed u at angle θ above the horizontal:
x = (u cos θ)t
Taking upwards as positive:
vy = u sin θ - gt y = (u sin θ)t - ½gt² vy² = (u sin θ)² - 2gy
The total time for the projectile to return to its launch height (y = 0):
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