Projectile & Parabolic Motion

Key formulas

• $$y = x\tan\theta - \dfrac{g\,x^{2}}{2\,v_0^{2}\cos^{2}\theta}$$

  Projectile trajectory

  $y$

  Heightm

  $x$

  Horizontal distancem

  $\theta$

  Launch angle°

  $v_0$

  Launch speedm/s

  $g$

  Gravitational accelerationm/s²

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• $$R = \dfrac{v_0^{2}\sin 2\theta}{g}$$

  Range of a projectile

  $R$

  Rangem

  $v_0$

  Launch speedm/s

  $\theta$

  Launch angle°

  $g$

  Gravitational accelerationm/s²

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• $$H = \dfrac{v_0^{2}\sin^{2}\theta}{2g}$$

  Maximum height of a projectile

  $H$

  Maximum heightm

  $v_0$

  Launch speedm/s

  $\theta$

  Launch angle°

  $g$

  Gravitational accelerationm/s²

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