Parabolic Motion (Calculated from Time and Distance)
Calculate the initial velocity, launch angle, and maximum altitude required for an object launched without air resistance to achieve a given flight time and range.
| Initial velocity v | m/s |
| = | km/h |
| Launch angle θ | ° |
| Maximum Altitude h | m |
| \(\normalsize Parabolic\ motion\\ (1)\ v=\sqrt{{v_x}^2+{v_y}^2}=\sqrt{({\large\frac{l}{t}})^2+({\large\frac{gt}{2}})^2}\\ (2)\ \theta =\tan^{\tiny -1}{\large\frac{v_y}{v_x}}= \tan^{\tiny -1}{\large\frac{gt^2}{2l}}\\ (3)\ h={\large\frac{1}{2}}g{\large(\frac{t}{2})}^2={\large\frac{gt^2}{8}}\\\) |
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