This discussion will provide you an opportunity to get assistance and feedback f

Question

This discussion will provide you an opportunity to get assistance and feedback from your classmates involving a small experiment. If you drop an object, its height above the ground can be given by the polynomial equation 0 = –16t2 + h, where h is how many feet above the ground at time t seconds after you drop it. You can predict the height the object was dropped from by using the recorded time it takes for the object to hit the ground. Or you can predict the time it takes for the object to hit the ground by using the height the object was dropped from. Let’s suppose you are standing on the Brooklyn Bridge in New York. Also suppose you know that the Brooklyn Bridge is 276 feet above the average water level (the ground). When will it hit the ground? It's hard to tell in this form, but if we factor the equation into 0 = –16t2 + h 0 = –16t2 + 276 0 = –16(t2 – 17.25) 0 = –16(t – 17.25)(t + 17.25) 0 = –16(t – 4.2)(t + 4.2) 0 = t – 4.2 t = 4.2 seconds About 4.2 seconds after dropping the object should hit the water. Next, I dropped a rock off the bridge. Using my stop watch, it took 4.5 seconds for it to hit the water. In the discussion you need to discuss the factors that could contribute to the difference between the mathematical result (4.2 seconds) and the actual result (4.5 seconds). Upon completion of this assignment, you should be able to: Demonstrate the ability to use factoring with polynomial expressions. Use properties of real number systems and operations to solve equations. Apply the laws of exponents in order to manipulate an expression or an equation.

Explanation / Answer

0 = -16t^2 + h

height of bridge = 276 feet

0 = -16t^2 + 276

-16t^2 = - 276

t^2 = 17.25

t = +-sqrt 17.25

therefore, it will hit the ground after 4.153 seconds

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