SOLUTION: 60. 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 id given by s(t)

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Question 59845: 60. 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 id given by s(t) = 16t^2 + 32t where t time in seconds. Graph this parabola for 0 t 2. What is the maximum height reached by the ball?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Your formula has a slight error, it should be:
s%28t%29+=+-16t%5E2+%2B+32t The x^2 coefficient should be negative. This is because the effects of gravity act in a downwards (negative) direction.
The graph looks like:
graph%28300%2C200%2C-5%2C5%2C-5%2C20%2C-16x%5E2%2B32x%29
From the graph, the maximum value of the height (y-value) is 16 feet.