Measure the height of your computer monitor to the nearest tenth of a centimeter or sixteenth of an inch. Measure the width of your monitor as well. Use the Pythagorean theorem to find the length of the diagonal of your monitor.
In your post, include the height, the width, and the calculations needed to determine the length of the diagonal of your computer monitor. After you have calculated the approximate length using the Pythagorean theorem, use a measuring device to measure the length of the diagonal of your monitor. Was your measurement close? Why might the measurements not be exactly the same?
Typing hint: Type Pythagorean theorem as a^2 + b^2 = c^2. Do not use special graphs or symbols because they will not appear when pasted to the discussion board.
Part 2: Using the Library, web resources, and/or other materials, find a real-life application of a quadratic function. State the application, give the equation of the quadratic function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. State, in words, what each x and y means in terms of your real-life application. Please see the following example. Do not use any version of this example in your own post. You may use other variables besides x and y, such as t and S depicted in the following example, but you may not use that example. Be sure to reference all sources using APA style.
Typing hint: To type x-squared, use x^2. Do not use special graphs or symbols because they will not appear when pasted to the Discussion Board.
When thrown into the air from the top of a 50 ft building, a ball’s height, S, at time t can be found by S(t) = -16t^2 + 32t + 50. When t = 1, s = -16(1)^2 + 32(1) + 50 = 66. This implies that after 1 second, the height of the ball is 66 feet. When t = 2, s = -16(2)^2 + 32(2) + 50 = 50. This implies that after 2 seconds, the height of the ball is 50 feet.
In your own words, please post a response to the Discussion Board and comment on other postings. You will be graded on the quality of your postings.
Points Possible: 40
Date Due: Sunday, Nov 22, 2009
Objective: Use polynomial and rational functions.
Apply critical thinking skills to the content of the course.
Submitted Files: Discussion Board
Score: N/A
Instructor Comments: 1) Remember when you are using a ruler, that each little mark is one-sixteenth = 1/16 = 0.0625 (divide 1 by 16). So, if you measure and it is 16 inches and 3 small marks, use 16 3/16 = 16. 1875. Do NOT round your answers to nearest whole numbers. Use these decimals when you are working part 1! If you are using cm, then each mark is 1 tenth or 0.1. So, a measurement of 16 and 3 small marks = 16.3 cm.
2) Alternate part 2 of the Unit 2 DB:
You may choose to do the original equation for part 2. However, if you find it too difficult, please feel free to do the following instead:
When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -16t2 + v*t + k gives the height of the ball at any time, t in seconds, where v is the initial velocity (speed) in ft/sec.
Make up a scenario where a ball is thrown, shot, etc. Into the air. You can choose any initial velocity (in feet/sec) and any initial height (in feet) of the ball, but include them in your written scenario. The ball can leave your hand, the top of a building, etc. So you can use many different values for the initial height.
1) Insert the chosen values for v and k into the formula listed above.
2) Use the formula to find the height of the ball at any two values of time, t, in seconds that you want. Show your calculations and put units on your final answers!
Please make sure that your answer makes sense!!
If your answer is negative, that means the ball already hit the ground, so choose a smaller value for time.
Think about a ball going up into the air, you might throw it or put in a cannon. If you throw a ball up into the air, it will not end up being 800 feet in the air if it leaves your hand at 5 feet. Therefore, you would need to adjust your initial velocity. You may want to research the initial velocity (speed) to figure out what seems reasonable! (ex. Your 5 year old cannot throw a ball into the air with an initial velocity of 100 feet/sec) J
Do NOT use the same values for v and k as another student in the class or you will have to redo it!
In your post, include the height, the width, and the calculations needed to determine the length of the diagonal of your computer monitor. After you have calculated the approximate length using the Pythagorean theorem, use a measuring device to measure the length of the diagonal of your monitor. Was your measurement close? Why might the measurements not be exactly the same?
Typing hint: Type Pythagorean theorem as a^2 + b^2 = c^2. Do not use special graphs or symbols because they will not appear when pasted to the discussion board.
Part 2: Using the Library, web resources, and/or other materials, find a real-life application of a quadratic function. State the application, give the equation of the quadratic function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. State, in words, what each x and y means in terms of your real-life application. Please see the following example. Do not use any version of this example in your own post. You may use other variables besides x and y, such as t and S depicted in the following example, but you may not use that example. Be sure to reference all sources using APA style.
Typing hint: To type x-squared, use x^2. Do not use special graphs or symbols because they will not appear when pasted to the Discussion Board.
When thrown into the air from the top of a 50 ft building, a ball’s height, S, at time t can be found by S(t) = -16t^2 + 32t + 50. When t = 1, s = -16(1)^2 + 32(1) + 50 = 66. This implies that after 1 second, the height of the ball is 66 feet. When t = 2, s = -16(2)^2 + 32(2) + 50 = 50. This implies that after 2 seconds, the height of the ball is 50 feet.
In your own words, please post a response to the Discussion Board and comment on other postings. You will be graded on the quality of your postings.
Points Possible: 40
Date Due: Sunday, Nov 22, 2009
Objective: Use polynomial and rational functions.
Apply critical thinking skills to the content of the course.
Submitted Files: Discussion Board
Score: N/A
Instructor Comments: 1) Remember when you are using a ruler, that each little mark is one-sixteenth = 1/16 = 0.0625 (divide 1 by 16). So, if you measure and it is 16 inches and 3 small marks, use 16 3/16 = 16. 1875. Do NOT round your answers to nearest whole numbers. Use these decimals when you are working part 1! If you are using cm, then each mark is 1 tenth or 0.1. So, a measurement of 16 and 3 small marks = 16.3 cm.
2) Alternate part 2 of the Unit 2 DB:
You may choose to do the original equation for part 2. However, if you find it too difficult, please feel free to do the following instead:
When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -16t2 + v*t + k gives the height of the ball at any time, t in seconds, where v is the initial velocity (speed) in ft/sec.
Make up a scenario where a ball is thrown, shot, etc. Into the air. You can choose any initial velocity (in feet/sec) and any initial height (in feet) of the ball, but include them in your written scenario. The ball can leave your hand, the top of a building, etc. So you can use many different values for the initial height.
1) Insert the chosen values for v and k into the formula listed above.
2) Use the formula to find the height of the ball at any two values of time, t, in seconds that you want. Show your calculations and put units on your final answers!
Please make sure that your answer makes sense!!
If your answer is negative, that means the ball already hit the ground, so choose a smaller value for time.
Think about a ball going up into the air, you might throw it or put in a cannon. If you throw a ball up into the air, it will not end up being 800 feet in the air if it leaves your hand at 5 feet. Therefore, you would need to adjust your initial velocity. You may want to research the initial velocity (speed) to figure out what seems reasonable! (ex. Your 5 year old cannot throw a ball into the air with an initial velocity of 100 feet/sec) J
Do NOT use the same values for v and k as another student in the class or you will have to redo it!
