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Footbal Kick

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Footbal Kick - Page Text Content

BC: GO TEAM!

FC: Mix Book Word Problem Frank Cambria

1: F.C., #12, Quadratic Football

2: Question 12: When a football is punted, it goes up in the air, reaches a maximum altitude, and then comes back. Assume that a quadratic function is a reasonable mathematical model for this situation. Let t=number of seconds that have elapsed since the ball was punted. Let d=number of feet the ball is above the ground. -When the ball was kicked it was 4 feet above the ground. One second later, it was 28 feet above the ground. Two seconds after it was kicked, it was 20 feet up. Write the equation expressing d in terms of t. -find d and t coordinates of the vertex, and tell what each represents in the real world. -Find the t-intercepts and tell what each represents in the real world.. -What is the reasonable domain of the function? Why would your model not give reasonable answers for d when the value of t is -Below the lower bound of the domain? -Above the upper bound of the domain? - What influences in the real world might make your model slightly inaccurate within the domain? -What is the range of the function?

3: Let t=number of seconds that have elapsed since the ball was punted. Let d=number of feet the ball is above the ground.

4: -When the ball was kicked it was 4 feet above the ground. One second later, it was 28 feet above the ground. Two seconds after it was kicked, it was 20 feet up. Write the equation expressing d in terms of t. | y=-16x^2+40x+4

5: (0,4), (1,28), (2,20) (0,4) is the first coordinate and represents how high above the ground the ball was when kicked.The ball was 4 feet when kicked so 0 seconds. (1,28) The second coordinate represents that the ball is 28 feet hight at 1 second in the air. (2,20) After 2 seconds the ball is now at 20 feet and has began to fall. | -Find the d and t coordinates of the vertex, and tell what each represents in the real world. | T=x and d=y

6: t-intercepts: (-.09,0) (2.6,0) | Find the t-intercepts and tell what each represents in the real world.

7: Domain=(-.2,2.7) - If the value of t was below the lower bound of the domain then it would give an unreasonable answer because when the kicker punts the ball in isn't going to be the correct 4 feet. It would be lower than the ground which is impossible. Therefore the height(d) of the football would be unreasonable. - If the value of t was above the upper bound of the domain then it would have an unreasonable answer because the ball would now be punted at a height already higher than ground level. | What is reasonable domain of the function? Why would your model not give reasonable answers for d when the value of t is -below the lower bound of the domain? -Above the upper bound of the domain?

8: -What influences in the real world might make your model slightly inaccurate within the domain? Real world influences such as wind, the kicker and their strength and punting abilities, and also the mass of the ball. If it is heavier then it could either go farther because of momentum and acceleration. But also if it is a light football then the wind could carry it.

9: What is the range of the function? | (0,28.71)

11: GO TEAM! | We did it!

12: GOAL!

13: Soccer Rules!

16: GO DUKE! | Lets go Team!

20: Good Game

21: GOOD JOB!

22: GO TEAM!

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  • By: frank c.
  • Joined: almost 5 years ago
  • Published Mixbooks: 1
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  • Title: Footbal Kick
  • Tags: None
  • Published: almost 5 years ago

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