College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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if i wanted to solve for g, what would the derivation be for y= Voy(delta t) - .5g(delta t)2 so like i want the equation to be g= ...
(i understand g is 9.81, but for the purposes of solving for it how would i derive the equation)
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Step 1
here the case is given for an object in free fall motion along the Y axis.
Velocity is defined as the rate of change of displacement, which can be written in calculus as:
According to equation of kinematics for free fall along Y axis, relation between initial velocity, final velocity and acceleration due to gravity is:
here v is the final velocity after time time t
is the initial velocity
g is the acceleration due to gravity.
From above two equations it can be written as:
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