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Deriving A Motion Equation

by charris316
Tags: deriving, equation, motion
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charris316
#1
Feb24-10, 07:24 PM
P: 2
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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willem2
#2
Feb25-10, 01:02 AM
P: 1,398
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 time-of-flight.


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