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)= -16
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Question 47784: 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)= -16t^2 + 32t where t is time in seconds. Graph this parabola for 0 =< t =< 2. What is the maximum height reached by the ball?
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At t = 0, because the height is zero.
At , also because
In 2 sec the ball lands back on the ground.
The max height is midway between 0 and 2, which is 1,
so in 1 sec the ball reaches its max height, and the
max height is
The max height is 16 feet
