SOLUTION: I need help with this problem. Thank you for your help! Solve (h=16t^2 + vt + s) for t

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I need help with this problem. Thank you for your help! Solve (h=16t^2 + vt + s) for t      Log On


   

Question 131943This question is from textbook
: I need help with this problem. Thank you for your help!
Solve (h=16t^2 + vt + s) for t This question is from textbook

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
h=16t%5E2%2Bvt%2Bs

Swap the left and right sides of the equation:
16t%5E2%2Bvt%2Bs=h

Add -h to both sides:
16t%5E2%2Bvt%2B%28s-h%29=0

Now you have a quadratic equation in t in standard form with coefficients, a = 16, b = v, and c = (s - h), so use the quadratic formula:

t+=+%28-v+%2B-+sqrt%28+v%5E2-4%2A16%2A%28s-h%29+%29%29%2F%282%2A16%29+

t+=+%28-v+%2B-+sqrt%28+v%5E2-64%28s-h%29+%29%29%2F32+