SOLUTION: Maximum height. If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t) = -1

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: Maximum height. If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t) = -16tē + 32t where t is time in seconds. Graph this parabola for 0≤ t ≤ 2.
What is the maximum height reached by the ball?
This question is from textbook

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Maximum height. If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t) = -16tē + 32t where t is time in seconds. Graph this parabola for 0≤ t ≤
:
y = s(t); x = t
Find y for x=0, x=.5, x=1, x=1.5, and x=2
:



2. What is the maximum height reached by the ball:
From the graph we can see max occurs when t = 1
Find s(1)
s(1) = -16(1^2) + 32(1)
s(1) = -16 + 32
s(1) = +16 ft max

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