<PRE><B>Question 214069</B>
The graph below shows the height in feet, of a ball thrown straight up with an initial speed of 80 feet per second from an initial height of 96 feet after t seconds. Use the graph to answer the following questions.
:
Perhaps we can construct the graph from the equation: h = -16t^2 + 80t + 96
-16t^2 is the downward pull of gravity
80t is the upward velocity of the ball
96 is initial height 
:
{{{ graph( 300, 200, -4, 8, -50, 250, -16x^2+80x+96) }}}
:
a) What is the height of the ball at 1.5 seconds?
The graph indicates it to be about 180 ft
:
b) What is the maximum height of the ball and at what time does it occur?
Looks like this occurs at 2.5 sec when the ball is at 196 ft
:
c) Find the H intercept of the graph and explain what is happening to the ball at that point.
H intercept is on the y axis, occurs when x = 0, that would be 96 ft
:
d) Find the T intercept of the graph and explain what is happening to the ball at that point.
T is on the x axis, intercept when y = 0, looks like at 6 secs when it hits the ground
:
it is a quadratic equation</PRE>