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Deriving A Motion Equation 
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#1
Feb2410, 07:24 PM

P: 2

1. The problem statement, all variables and given/known data
Derive algebraic expressions for the range and total timeofflight of a projectile launched with initial speed v, from a height h, and at an angle Q, above the horizontal. We were given the final equations but I am unsure of how to derive them. 2. Relevant equations range=vt.5gt^2, where g is the acceleration due to gravity and t is the time in seconds. time= (vsinQ+((vsinQ)^2+2gh)^.5)/g 3. The attempt at a solution Considering the ball, after it has been launched: Fx=0 Vox=vcosQ Fy=mg Voy=vsinQ ? 


#2
Feb2510, 01:02 AM

P: 1,396

That equation for range is wrong.
The first step is to find an the height as a function of time. Set this to zero to find the timeofflight. 


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