Using a Quadratic-Quadratic model to solve a problem

Question

Solve for t

t= time, in seconds since the

ball was thrown

h= height in feet above the ground

h=-16t²+14t+6

h=-16t²+10t+8

Answer 1

Hey!

So I am a little fuzzy on the question but I think we are assuming that t and h are the same for both equations? If so then you can set both of the equations equal to each other and solve for t that way.

-16t² + 14t + 6 = -16t² + 10t + 8

the -16t² on both sides will cancel so you will be left with:

14t + 6 = 10t + 8

From here, subtract 10t from both sides as well as subtract 6 from both sides to get:

14t - 10t = 8 - 6

4t = 2

t = 1/2

I hope this helps, let me know if I can clarify anything or if I assumed the question wrong!