d=vt+1/2at^2 solve for t

Question

d=vt+1/2at^2 solve for t Have to rearrange the formula to find t. Show all the steps.

Answer 1

The equation can be rewritten as (1/2)at² + vt - d = 0

 

This is a quadratic equation in the variable t, which can be solved by using the quadratic formula.  

 

t = [-v ± √(v² - 4(1/2)(a)(-d))]/(2(1/2)(a))

 

  = [-v ± √(v² + 2ad)]/a