Solve for d?

Question

Solve each formula for d. 

t=(2d)/(g)^(1/2)

 

v=(2gd)^(1/2)

Answer 1

For the first equation: multiply top and bottom by √g, since g^1/2 = the square root of g.

 

t = (2d)/(g)^(1/2) *(√g/√g)

 

t√g = 2d

 

(t√g)/2 = d

 

For the second equation: square both sides to get rid of the square root sign on the right side of the equation, then divide the left side by 2g to isolate d.

 

(v)²=((2gd)^1/2))²

 

v²=2gd

 

v²/(2g) = d