SOLUTION: I believe this is supposed to be solved by using the quadratic equation, but I'm not sure how to work it. Any help would be very much appreciated!! If a pebble is dropped towar

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Question 49912This question is from textbook Beginning Algebra
: I believe this is supposed to be solved by using the quadratic equation, but I'm not sure how to work it. Any help would be very much appreciated!!
If a pebble is dropped toward a pond from the top of a 240-ft building, its height h after t s is given by h = 16t^2 + 240. How long does it take the pebble to pass through a height of 120 ft?
This question is from textbook Beginning Algebra

Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!

I believe this is supposed to be solved by using the quadratic equation,
but I'm not sure how to work it. Any help would be very much 
appreciated!! If a pebble is dropped toward a pond from the top of a 
240-ft building, its height h after t s is given by h = 16t^2 + 240. How 
long does it take the pebble to pass through a height of 120 ft?

That formula is wrong. It should be h = -16t² + 240.  

Just plug 150 for h in the equation and solve first for t². Then take
square roots of both sides.  You'll get approximately t = 2.7 seconds.

Edwin


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