# Projection (angle, height and distance) Calculator

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

 Initial velocity v m/skm/hfpsmph Flight duration t sec [ Gravity g m/s2 ] 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit Initial angle θ deree Maximum height h Travel distance l
 $\normal Projection\\(1)\ l=\sqrt{v^2-({\large\frac{gt}{2}})^2}t\\(2)\ h={\large\frac{1}{2}}g{\large(\frac{t}{2})}^2={\large\frac{gt^2}{8}}\\(3)\ \theta=\tan^{\tiny -1}{\large\frac{4h}{l}}\\$

Projection (angle, height and distance)
 [1-2] /2 Disp-Num5103050100200
[1]  2017/12/16 05:18   Male / 20 years old level / An engineer / Useful /
Purpose of use
exploring
Comment/Request
hi, not sure if its a bug but for "Projection (angle, height and distance) Calculator"
"l"formula no matter how i actually put in those number by hand or transpose onto a computer do not line up. the distance is indeed correct but not too sure about the formula. if the formula is correct was wondering if you could think of any reason why my computer and hand may not be interpriting it correctly?
from Keisan
The "l" formula can be obtained as below.

i) l = v*cosθ*t
l2 = v2*cos2θ*t2

ii)
0 = v*sinθ - (g*t/2)
v2*sin2θ = (g*t/2)2

From i) and ii),
l = sqrt(v2 - (g*t/2)2) * t
[2]  2016/08/05 01:02   - / 60 years old level or over / A retired people / Useful /
Purpose of use
space station position when visible

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