(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Derive algebraic expressions for the range and total time-of-flight 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

?

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# Homework Help: Deriving A Motion Equation

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