SOLUTION: Mitch tossed an apple to Kathy, who was on a balcony 40 feet above him, with an initial speed of 56 feet/second. Kathy missed the apple on its way up, but caught it on its way dow

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Mitch tossed an apple to Kathy, who was on a balcony 40 feet above him, with an initial speed of 56 feet/second. Kathy missed the apple on its way up, but caught it on its way dow      Log On


   



Question 1115537: Mitch tossed an apple to Kathy, who was on a balcony 40 feet above him, with an initial speed of
56 feet/second. Kathy missed the apple on its way up, but caught it on its way down.
What was the apple's maximum height and what is the time when the apple reached max height?

Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.
As you know  (or must know),  the equation for the height above the ground for this case is

    h(t) = -16t^2 + 56t.


The maximum height is reached when this quadratic function gets its maximum, i.e.  at  t = -56%2F%282%2A%28-16%29%29 = 56%2F32 = 7%2F4 seconds, 
and is equal to  

    h%287%2F4%29 = -16%2A%287%2F4%29%5E2+%2B+56%2A%287%2F4%29 = 49 feet.


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For full details see 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

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 topic "Projectiles launched/thrown and moving vertically up and dawn".


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.