Mechanics

Projectile Motion

Range, height and flight time of a projectile

  • High school
  • about 4 min
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H = 10.2 mR = 40.8 m

Parameters (g = 9.81 m/s²)

R=v02sin⁡(2θ)g=40.8 mR = \frac{v_0^2 \sin(2\theta)}{g} = 40.8\,\text{m}

Flight time T = 2.88 s

• Maximum range is at a 45° angle • Angles θ and 90°−θ give the same range • Height and flight time grow with sin of the angle