Question 150351
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

:
{{{ graph( 300, 200, -1, 3, -10, 25, -16x^2+32x) }}}



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