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Study Guide published

Kinematics Formula Card

Core Formulae

Equations of Motion (constant acceleration):

  1. v = u + at
  2. s = ut + ½at²
  3. v² = u² + 2as
  4. s = ½(u + v)t

Projectile Motion:

  • Time of flight: T = 2u sin θ / g
  • Maximum height: H = u² sin² θ / 2g
  • Range: R = u² sin 2θ / g
  • Max range at θ = 45°

What is the range formula for projectile motion?

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For a ball thrown at 30° with u = 20 m/s, what is the range?

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At what angle does a projectile achieve maximum range?

A 30°
B 45°
C 60°
D 90°

Maximum range occurs when sin 2θ is maximum, i.e., sin 2θ = 1, so 2θ = 90° and θ = 45°.