SOLUTION: Hi, I am having a hard time figuring what formula or equation needs to be applied to this problem. There's a slope graph. (0,96) (2.5,196) Not sure if this is considered quadra

Algebra ->  Graphs -> SOLUTION: Hi, I am having a hard time figuring what formula or equation needs to be applied to this problem. There's a slope graph. (0,96) (2.5,196) Not sure if this is considered quadra      Log On


   

Question 214069: Hi, I am having a hard time figuring what formula or equation needs to be applied to this problem. There's a slope graph. (0,96) (2.5,196)
Not sure if this is considered quadratic or just a simple word problem that need to be converted into an equation.
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.
a) What is the height of the ball at 1.5 seconds?
b) What is the maximum height of the ball and at what time does it occur?
c) Find the H intercept of the graph and explain what is happening to the ball at that point.
d) Find the T intercept of the graph and explain what is happening to the ball at that point.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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%28+300%2C+200%2C+-4%2C+8%2C+-50%2C+250%2C+-16x%5E2%2B80x%2B96%29+
:
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