SOLUTION: The height of a ball thrown upward from the top of a building is given by: h(t)=-16t^2+64t+80 What is the height of the ball at 1 second? What is the maximum height reached b

Question 1042039: The height of a ball thrown upward from the top of a building is given by: h(t)=-16t^2+64t+80
What is the height of the ball at 1 second?
What is the maximum height reached by the ball?
How long will it take for the ball to reach the ground?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The height of a ball thrown upward from the top of a building is given by: h(t)=-16t^2+64t+80
What is the height of the ball at 1 second?
h(1) = -16+64+80 = 128 ft.
---------------------------------
What is the maximum height reached by the ball?
Max occurs when x = -b/(2a) = -64/(2*-16) = 2 sec
h(2) = -16(2^2) + 64(2) + 80 = 144 ft
----------------------
How long will it take for the ball to reach the ground?
When it reaches the ground the height is zero.
-------
Solve:: -16t^2+64t+80 = 0
t^2 - 4t - 5 = 0
(t-5)(t+1) = 0
Positive solution::
t = 5 seconds
============
Cheers,
Stan H.
----------------
RELATED QUESTIONS
A ball is thrown upward from the top of a building. The ball's height above the ground... (answered by nerdybill)

A ball is thrown upward from the top of a building. The ball's height above the ground... (answered by josmiceli)

A ball is thrown upward from the top of a building. The ball's height above the ground... (answered by richwmiller)

An object is thrown upward from the top of an 80 foot building with an initial velocity... (answered by nerdybill,MathTherapy)

The height of a ball thrown upward from a cliff is given by the function h(t) = - 16t 2 (answered by ewatrrr)

Assume you are throwing a baseball up from the top of a building. The equation for the... (answered by stanbon)

Supporting algebraic work must accompany your answers. A ball is thrown vertically... (answered by Alan3354)

A ball is thrown upward with an initial velocity of 64 ft/sec from a height of 960 ft.... (answered by ankor@dixie-net.com)

A ball is thrown upward with an initial velocity of 24 ft per second. The formula h(t)=... (answered by lwsshak3)