SOLUTION: A ball is thrown vertically upward from the ground with an initial velocity of 134 ft/sec. Use the quadratic function
h(t) = −16t2 + 134t + 0
to find how long it will take fo
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Question 1157715: A ball is thrown vertically upward from the ground with an initial velocity of 134 ft/sec. Use the quadratic function
h(t) = −16t2 + 134t + 0
to find how long it will take for the ball to reach its maximum height (in seconds), and then find the maximum height (in feet)
Found 2 solutions by Boreal, josmiceli:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The maximum height of a quadratic occurs when t=-b/2a (vertex) where here b=134 and a=-16
so at -134/-32 or 4.1875 seconds
h(4.1875)=-280.5625+561.125
=280.5625 or 281 feet
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The vertex ( maximum ) is located midway between
the roots where
the roots are:
and
sec
-------------------------
( time to reach maximum height )
Plug this back into equation
ft ( maximum height )
check:
Here's the plot:
Looks OK
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