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keisanHigh-precision calculations for everyday life and work

Parabolic Motion (Calculated from Angle and Distance)

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Calculate the initial velocity, flight time, and maximum height when an object is launched at a certain angle without air resistance and reaches a given distance.
Launch angle θ
°  0<θ<90
Distance Traveled l
ml>0
[Gravitational acceleration g
m/s2]
Initial velocity v  m/s
= km/h
Time in flight t  seconds
Maximum Height h  m
\(\normalsize Parabolic\ motion\\ (1)\ v=\sqrt{\large\frac{gl}{2sin\theta cos\theta}}\\ (2)\ t={\large\frac{l}{vcos\theta}}\\ (3)\ h={\large\frac{1}{2}}g{\large(\frac{t}{2})}^2={\large\frac{gt^2}{8}}\\\)

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