Week 12 Discussion – Quadratic Equations in the Real World
This week, you will be learning about quadratic equations. Quadratic equations are actually used in everyday life, such as for calculating areas (typically rooms, boxes, or plots of lands), in athletic events that involve throwing objects such as shot put, balls, or javelin, and also for calculating speeds in various situations.
For this discussion, we will explore one such situation through a problem-solving activity. Please provide a detailed step-by-step solution for the mathematical problem given below.
Alternatively, are you feeling adventurous? In that case, you are more than welcome to choose
your own real-world problem involving quadratic equations. Make sure to include the following components in your solution.
1. State the problem clearly in your own words.
2. Show detailed step-by-step solution.
3. Cite your source, if any. Important Note: You do not need to cite a source if you have
picked a scenario from your everyday life or work experience. Otherwise, be sure to cite
your source with complete information (author, title, name of publication, date, URL,
etc.).
Note: NO need to type math equations or explain your steps in words. You can simply work the problem of your choice on a piece of paper, take a photo of your work and then pass it to me.
Problem
An arrow is shot vertically upward from a platform 35 ft high at a rate of 166 ft/sec. When will the arrow hit the ground? Ignore the air resistance.
Use the formula ℎ = −16 ↑2 (the arrow means that the 2 represents square) + 0 + ℎ0.
Round your answer to the nearest tenth. Hint: 0 and ℎ0 represent the initial speed and initial
height, respectively. They are both given in the problem.
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