Changing Equations
Unlock the secrets of transforming equations to solve for different variables in physics! In this guide, we'll demonstrate how to manipulate common equations, such as x = v0t + 1/2at², to isolate specific variables like acceleration. Learn a step-by-step approach starting with identifying the correct equation and the variable you need to solve for. We'll provide practical examples and practice problems, including transformations for velocity and displacement equations. Gain confidence in your mathematical skills and excel in physics!
Changing Equations
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Presentation Transcript
Changing Equations Don and Nick
Changing Equations • We will show you how to change equations so that you can solve for different variables. • For example, if you’re using the equation x=v0t+1/2at2 you will learn to change it to a=2(x-v0t)/t2 so that you can solve for acceleration.
Changing Equations • First you’ll need to find which equation is the correct one to use. For now we’ll use x=1/2(v+v0)t • Then you need to find which variable you are solving for. We’ll same that we know v, x and t and are solving for v0
Changing Equations • Start with your equation x=1/2(v+v0)t • First multiply by two on both sides to get rid of 1/2 • 2x=(v+v0)t Now divide by t on both sides • 2x/t=v+v0 Finally subtract v so that v0 is by itself. • 2x/t-v=v0
Changing Equations • Now try these for practice • v=v0+at in terms of a • x=v0t+1/2at2 in terms of v0 • v2=v02+2ax in terms of x
Changing Equations • Answers • (v-v0)/t=a • (x-1/2at2)/t=v0 • (v2-v02)/2a=x
