SOLUTION: 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
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: 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
Log On
Question 986534: 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).
a. Conduct an experiment similar to the above example in the Introduction.
b. For your initial post, explain in detail the rational for and how you set up the experiment. Explain how you performed the experiment.
c. Explain the math involved in factoring your polynomial and provide a detailed explanation of your result.
d. Compare the mathematical result to the actual time it took for your object to hit the ground.