# Projection (velocity, angle and height) Calculator

## Calculates the initial velocity, initial angle and maximum height of the projection from the flight duration and travel distance.

 Flight duration t sec Travel distance l mft [ Gravity g m/s2 ] 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit Initial velocity v = Initial angle θ degree Maximum height h
 $\normal Projection\\(1)\ v=\sqrt{{v_x}^2+{v_y}^2}=\sqrt{({\large\frac{l}{t}})^2+({\large\frac{gt}{2}})^2}\\(2)\ \theta =\tan^{\tiny -1}{\large\frac{v_y}{v_x}}= \tan^{\tiny -1}{\large\frac{gt^2}{2l}}\\(3)\ h={\large\frac{1}{2}}g{\large(\frac{t}{2})}^2={\large\frac{gt^2}{8}}\\$

Projection (velocity, angle and height)
 [1-10] /12 Disp-Num5103050100200
[1]  2018/07/31 09:52   Female / Under 20 years old / High-school/ University/ Grad student / A little /
Purpose of use
Assignment
Comment/Request
Should include HOW to work it out
[2]  2017/11/29 02:57   Male / 40 years old level / A teacher / A researcher / Useful /
Purpose of use
Calculating initial velocity and launch angle for a football punter from game film to help fine tune practice goals. Confirmed initial assessment that ball was being kicked at too high a launch angle and was losing potential distance.
[3]  2017/08/23 23:57   Male / 20 years old level / An office worker / A public employee / Useful /
Purpose of use
Attempting to demonstrate how bad an idea jumping high enough to land six seconds later is.
Comment/Request
Would be helpful to include drag or air resistance.
[4]  2016/01/04 14:34   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Comment/Request
where does the 8 in the denominator of the height equation come from? Besides that, very helpful with good equations.
from Keisan
We have added another formula in h.
[5]  2015/08/19 03:39   Male / 40 years old level / Self-employed people / Not at All /
Purpose of use
Test calculations agianst real world
Comment/Request
This is completely not accurate.
A baseball hit at 103 mph at 28.3* above the horizantle will travel about 403 feet with an average apex of 91ft high.

Your equations are correct, but not applied properly. A good source of comparison is hittrackeronline.com . Even given the relations between humidity, temperature, ball rotation, etc. you are not even close. AN example of the error: you cannot hit a baseball only 45MPH at 70* and expect it to go 450feet.
[6]  2015/01/30 12:46   Male / Under 20 years old / Others / Useful /
Purpose of use
To calculate the average distance vs. position
[7]  2015/01/14 10:43   Female / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Physics problem
[8]  2014/12/03 00:09   Female / 20 years old level / A teacher / A researcher / A little /
Purpose of use
[9]  2014/09/24 08:15   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
homework
[10]  2014/09/22 02:27   Female / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use

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