SOLUTION: A ball is thrown vertically upward from the top of a
building 96 feet tall with an initial velocity of 80 feet
per second. The distance, s (in feet), of the ball from
the ground
Algebra.Com
Question 1103985: A ball is thrown vertically upward from the top of a
building 96 feet tall with an initial velocity of 80 feet
per second. The distance, s (in feet), of the ball from
the ground after t seconds is given by the function:
𝑠(𝑡) = 96 + 80𝑡 − 16𝑡^2
a.) How long does it take for the ball to reach its
highest point?
b.) What is the maximum height the ball reaches?
Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A ball is thrown vertically upward from the top of a building 96 feet tall with an initial velocity of 80 feet per second. The distance, s (in feet), of the ball from the ground after t seconds is given by the function:
��(��) = 96 + 80�� − 16��^2
seeing this graphically is helpful
a.) How long does it take for the ball to reach its
highest point?
This is a quadratic equation, max occurs on the axis of symmetry x=-b/(2a)
t =
t = 2.5 seconds
:
b.) What is the maximum height the ball reaches?
Replace t with 2.5 to find s
s = -16(2.5^2) + 80(2.5) + 96
s = -16(6.25 )+ 200 + 96
s = -100 + 296
s = 196 ft is max height, green line
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.
For similar problems, see the lessons
- Problem on a projectile moving vertically up and down
- Problem on an arrow shot vertically upward
- Problem on a ball thrown vertically up from the top of a tower
- Problem on a toy rocket launched vertically up from a tall platform
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this textbook under the topic "Projectiles launched/thrown and moving vertically up and dawn".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.
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