Question 827535
---
h(t) = -16t^2 + 120t + 3
---
the above quadratic equation is in standard form, with a=-16, b=120, and c=3
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
-16 120 3
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
the quadratic has two real roots at:
---
t = -0.0249172176
t = 7.52491722
---
negative time doesn't fit the problem statement, so use the positive root:
---
answer1:
the ball is in flight 7.525 seconds
---
the quadratic vertex is a maximum at: ( t= 3.75, h= 228 )
---
answer2:
the ball reaches a maximum height of 228 ft
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php