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Projectile landing on an incline

Free notes · JEE Main Physics

Formulas

y=−xtan⁡αy = -x\tan\alpha

The incline as a line

Worked example

A projectile is fired up a plane inclined at 30° to the horizontal with speed u at 60° to the horizontal. Find its range along the incline (in terms of u and g).

  1. Use the incline range formula with θ = 60°, α = 30°.
  2. R = 2u²cosθ·sin(θ−α)/(g cos²α) = 2u²cos60°·sin30°/(g cos²30°).
  3. R = 2u²(½)(½)/(g·¾) = 2u²/(3g).

Answer: R = 2u²/(3g).