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
Algebra ->
Equations
-> 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
Log On
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):
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 ?
