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.

Projection (velocity, angle and height)
Flight duration t
    1. sec
Travel distance l
[ Gravity g
    1. m/s2 ]

Initial velocity v
    1.  
=
    1.  
Initial angle θ
    1.  
    2.  degree
Maximum height h
    1.  
    Projection (velocity, angle and height)
    [1-10] /14Disp-Num
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    [1]  2022/03/03 14:48   20 years old level / High-school/ University/ Grad student / Very /
    Purpose of use
    I wanted to see how high a super punt was from an NFL game, and could see in the video how far the ball traveled (62 yards, 5.22 seconds in the air!). This has told me that the ball flew up to 109.58 ft, not quite outside of the stadium though (it was in Arrowhead Stadium, architectural height of 260 ft) Thank you for making my rabbit hole side quest easier to complete :)
    [2]  2020/10/06 22:34   Under 20 years old / High-school/ University/ Grad student / Useful /
    Purpose of use
    Project
    Comment/Request
    I thought it was useful for the project I was doing. Thank you.
    [3]  2018/07/31 00:52   Under 20 years old / High-school/ University/ Grad student / A little /
    Purpose of use
    Assignment
    Comment/Request
    Should include HOW to work it out
    [4]  2017/11/28 17:57   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.
    [5]  2017/08/23 14:57   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.
    [6]  2016/01/04 05:34   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.
    [7]  2015/08/18 18:39   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.
    [8]  2015/01/30 03:46   Under 20 years old / Others / Useful /
    Purpose of use
    To calculate the average distance vs. position
    [9]  2015/01/14 01:43   20 years old level / High-school/ University/ Grad student / Very /
    Purpose of use
    Physics problem
    [10]  2014/12/02 15:09   20 years old level / A teacher / A researcher / A little /
    Purpose of use
    checking answers

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