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

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Question 1115858: Hutch tossed an apple to Catherine, who was on a balcony 40 feet above him, with an initial speed of 56 feet/second. Cath missed the apple on its way up, but caught it on its way down.
How do you find the axis of symmetry?

Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
It is VERY WELL KNOWN FACT that the equation for the height as the function of time is

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


The axis of symmetry is half-way between the roots of the equation

-16t^2 + 56t = 0,        which is 

 = 0.


The roots are t = 0  and  t = , so half-way between the roots is   =  = .


Are you satisfied ?

This problem was solved couple of days ago under this link
https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.1115537.html

https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.1115537.html


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