Golfing Project
By Abbie, Damon, Nataly, and Nick
Question 2-4
In this problem, a man named Earl is hitting golf balls. Because of this, the independent variable of this situation is the time in seconds that the ball is in the air while the dependent variable is how high the ball gets in feet. A reasonable domain for this function would be 0_<x_<6.25 while a reasonable rang would be 0_< y _<156.25. His golf ball is in the air for 6.25 seconds.
Question 1
This graph represents the function of earl hitting his ball.
Question 5
This graph shows the maximum height of the ball. It, also, shows at what time the ball reaches that height. The maximum height is 156.25 and when the ball is this height, it has been in the ait for 3.13 seconds.
Question 7
This graph shows the height of the ball at 3.5 seconds. The height is 154 feet.
Question 7
This graph shows how many time in seconds the ball has been in the air when it reached the height of 154 seconds the first time. The time s 2.75.
Question 8
This graph shows that when the ball reaches 65 feet it is .74 seconds after it is hit. The graph to the right shows the second time at which the ball will reach 65 feet.
Question 8
This graph shows the second time the ball reaches 65 feet which is at 5.51 seconds. There are two times because the ball will reach that height both when it's ascending and descending.
Question 9
If Tweety Bird launches off the green and increases in height by 4 feet per second, the ball and him will be at the same height at 6 seconds. That height is 24 feet. This is shown on the graph by the intersecting lines.
Question 10
This graph shows the realtionship between Gloria and Earl's balls.
Question 10
Gloria's ball hits the ground first at 5 seconds, 2 seconds before Earl's ball.
Question 10
The ball will reach its maximum height at 100 feet, 2.5 seconds after it was hit.
Question 11
This graph shows the realationship between Earl hitting a ball from his orginial tee and one that is elevated 20 feet off the ground. The function describing the new (red) line would be f(x)= -16x^2+100x+20. A reasonable domain would be 0_<x_<6.44 while a reasonable range would be 0_<y_<176.25.
Question 11
The elevation of the platform would affect the graph by causing it to translate up to 20 on the y-axis.