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Parabolic motion, calculation of throwing velocity and angle by travel time and travel distance

ÀÛ¼ºÀÚ Uploader : ¾ß°£ºñÇà ÀÛ¼ºÀÏ Upload Date: 2019-01-30º¯°æÀÏ Update Date: 2019-02-01Á¶È¸¼ö View : 278

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If an object was thrown at a specific angle from the horizontal line and its horizontal travel distance and time to fall onto the ground is defined as dt (s) and L (m) respectively,  then the throwing velocity can be obtained as follows. 

Horizontal velocity: Vx = L/dt (m/s) 

Since the time to arrive at the peak point is dt/2, 

Vertical velocity: Vy = (dt/2) * g (m/s) 
Therefore, the throwing velocity is :

V = (Vx^2 + Vy^2)^(1/2) = ( (L/dt)^2 + (dt*g/2)^2 )^(1/2)



The throwing angle is:

¥è = arctan(Vy/Vx) = arctan((dt/2)*g/(L/dt)) = arctan((dt^2*g)/(2*L))



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