SOLUTION: A flare is shot upward from the edge of a 130 foot tall cliff with an initial velocity of 68 ft/sec. What is the maximum height above the ground this flare will go in feet? Ro

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Question 1115244: A flare is shot upward from the edge of a 130 foot tall cliff with an initial velocity of 68 ft/sec. What is the maximum height above the ground this flare will go in feet?
Round your answer to 1 decimal place
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website!
A flare is shot upward from the edge of a 130 foot tall cliff with an initial velocity of 68 ft/sec. What is the maximum height above the ground this flare will go in feet?
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Using h(t) = -16t^2 + 68t + 130 for height:
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It's a parabola. The vertex is the max height.
The vertex is at t = -b/2a = -68/-32 = 2.125 seconds
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h(2.125) = -16*2.215^2 + 68*2.125 + 130 feet.
Do the arithmetic.

Answer by ikleyn(52803)   (Show Source):
You can put this solution on YOUR website!
.
To see other solved problems on a projectile thrown/shot/launched vertically up, look into 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
in this site.

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.