experiment. If you drop an object, its height above the ground can be given by t
ID: 2896212 • Letter: E
Question
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. Resources Textbook: Beginning Algebra, 6/E Instructions Navigate to the threaded discussion below and respond to the following: Conduct an experiment similar to the above example in the Introduction. For your initial post, explain in detail the rational for and how you set up the experiment. Explain how you performed the experiment. Explain the math involved in factoring your polynomial and provide a detailed explanation of your result. Compare the mathematical result to the actual time it took for your object to hit the ground.
Explanation / Answer
-16t^2 + h = h(t)
h = 276 feet
-16t^2 + 276 = h(t)
When will it hit the ground
plug h(t) = 0
-16t^2 + 276 = 0
-16t^2 = -276
t^2 = 17.25
t = + 4.15 seconds
after 4.15 seconds it will hit the ground
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