.
The formula for the height is
h(t) = -16t^2 + 115t + 0, or simply h(t) = -16t^2 + 115t. (1)
The right side is a quadratic function.
The quadratic function q(x) = with the negative coefficient "a" (the general form) has the maximum at x = .
In your case, the quadratic function (1) gets its maximum at t = = 3.59 seconds.
Solved.
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To see other similar solved problems of this kind, look into the lessons
- Problem on a projectile moving vertically up and down
- Problem on an arrow shot vertically upward
- Problem on a ball thrown vertically up from the top of a tower
- Problem on a toy rocket launched vertically up from a tall platform
The lessons in this site on finding the maximum/minimum of a quadratic function are
- HOW TO complete the square to find the minimum/maximum of a quadratic function
- Briefly on finding the minimum/maximum of a quadratic function
- HOW TO complete the square to find the vertex of a parabola
- Briefly on finding the vertex of a parabola
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this textbook under the topics
"Projectiles launched/thrown and moving vertically up and dawn" and
"Finding minimum/maximum of quadratic functions".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.