Physics Solve formula for given variable

Question

Solve the formula for the given variable 

S=Vot-16t^2; Vo

Answer 1

S = v₀t - 16t²

S + 16t² = v₀t           add 16t² to both sides

(S + 16t²) / t = v₀     divide both sides by t

S/t + 16t = v₀           distribute

Answer 2

Jane,

 

Here is how to do it:

 

s = v₀t − 16t² is a quadratic equation in t, but is a linear equation in v₀.

 

Solving for the desired variable:

 

v₀t = s + 16t²

 

v₀ = s/t + 16t²/t

 

v₀ = s/t + 16t.

 

This is the answer. The last tutor posted a comment concerning the number of variables being too large. This is a correct comment if you are trying to find a number answer for v₀. Since you did not give any values for the other variables t and s, you can still solve the formula for v₀ without knowing anything else.

 

I hope this will be helpful to you!