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=v 0 t+1/2at 2 you will learn to change it to a=2(x-v 0 t)/t 2 so that you can solve for acceleration. 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=v 0 t+1/2at 2 you will learn to change it to a=2(x-v 0 t)/t 2 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+v 0 )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 v 0 First you’ll need to find which equation is the correct one to use. For now we’ll use x=1/2(v+v 0 )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 v 0
Changing Equations Start with your equation x=1/2(v+v 0 )t First multiply by two on both sides to get rid of 1/2 2x=(v+v 0 )t Now divide by t on both sides 2x/t=v+v 0 Finally subtract v so that v 0 is by itself. 2x/t-v=v 0 Start with your equation x=1/2(v+v 0 )t First multiply by two on both sides to get rid of 1/2 2x=(v+v 0 )t Now divide by t on both sides 2x/t=v+v 0 Finally subtract v so that v 0 is by itself. 2x/t-v=v 0
Changing Equations Now try these for practice v=v 0 +at in terms of a x=v 0 t+1/2at 2 in terms of v 0 v 2 =v ax in terms of x Now try these for practice v=v 0 +at in terms of a x=v 0 t+1/2at 2 in terms of v 0 v 2 =v ax in terms of x
Changing Equations Answers (v-v 0 )/t=a (x-1/2at 2 )/t=v 0 (v 2 -v 0 2 )/2a=x Answers (v-v 0 )/t=a (x-1/2at 2 )/t=v 0 (v 2 -v 0 2 )/2a=x