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keisanHigh-precision calculations for everyday life and work

Parabolic Motion (Calculated from Initial Velocity and Angle)

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This calculates the flight time, maximum altitude, and maximum distance when an object is launched with a given initial velocity and angle in the absence of air resistance.
Initial velocity v
Launch angle θ
°   0≦θ≦ 90
[Gravitational acceleration g
m/s2]
Time in Flight t  seconds
Maximum Altitude h  m
Distance Traveled l  m
\(\normalsize Parabolic\ motion\\ (1)\ l=v_x t={\large\frac{v^2\hspace{1px}\sin{2\theta}}{g}},\hspace{20px}v_x=vcos\theta\\ (2)\ h={\large\frac{{v_y}^2}{2g}}={\large\frac{(v\sin{\theta})^2}{2g}},\hspace{20px}v_y=vsin\theta\\ (3)\ t=2{\large\frac{v_y}{g}}={\large\frac{2v\hspace{1px}\sin\theta}{g}}\\ \)

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