SOLUTION: To avoid a sand trap, a golfer hits a ball so that its height is represented by equation h = -16t^2 + 80t, where h is height measured in feet and t is the time measured in seconds.

Question 1076210: To avoid a sand trap, a golfer hits a ball so that its height is represented by equation h = -16t^2 + 80t, where h is height measured in feet and t is the time measured in seconds.
a. when does the ball land on the ground?
b. what is maximum height of the ball during its flight?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

(a)
The ball is on the ground ( h = 0 ) at 2 times
(1) instant the ball is hit ( t = 0 )
(2) instant the ball returns to ground
------------------------------------------
Set the height equal to zero

The ball hits the ground in 5 sec
-------------------------------
(b)
The t-value of the maximum height is given
by the formula:

when the equation looks like:
( note that )

sec
Plug this result back into equation

The maximum height is 100 ft
--------------------------------
Here's the graph:

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