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Parabolic Motion (Calculated from Altitude and Distance)

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Calculate the initial velocity, launch angle, and flight time when an object is launched without air resistance and reaches a certain altitude and distance.
Maximum Altitude h
m
Distance Traveled l
m(Directly above is 0 m)
[Gravitational acceleration g
m/s2]
Initial velocity v  m/s
= km/h
Launch angle θ  °
Time in the Air t seconds
\(\normalsize Parabolic\ motion\\ (1)\ v={\large\frac{v_y}{\sin\theta}}={\large\frac{\sqrt{2gh}}{\sin\theta}}\\ (2)\ \theta=\tan^{\tiny -1}{\large\frac{v_y}{v_x}}= \tan^{\tiny -1}{\large\frac{4h}{l}}\\ (3)\ t=2\sqrt{\large\frac{2h}{g}}\\\)

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Parabolic Motion (Calculated from Altitude and Distance) | Keisan