A diver from the University of Texas Women's Swimming and Diving Team is competing in the NCAA Zone B Championships. She is competing in the springboard event. The graph below represents the diver's height (11) above water t seconds after the dive. The graph begins at the y axis 1 up to 11 the springboard starts at 10 with numbers 4, 10.8 indicating the feet above the water where the springboard is placed. The x axis begins a 0 to 2
How many feet above water is the springboard?
a) 4 feet
b) 4.9 feet
c) 10 feet
d) 10.8 feet
What is the diver's maximum height above the water?
a) 4 feet
b) 4.9 feet
c) 10 feet
d) 10.8 feet
After how many seconds does the diver reach her maximum height above the water?
a) 0.4 seconds
b) 1.9 seconds
c) 4.9 seconds
d) 10.8 seconds
After how may seconds does the diver enter the water?
a) 0.4 seconds
b) 1.9 seconds
c) 4.9 seconds
d) 10.8 seconds
The correct answers are:
How many feet above water is the springboard?
c) 10 feet
What is the diver's maximum height above the water?
b) 4.9 feet
After how many seconds does the diver reach her maximum height above the water?
a) 0.4 seconds
After how may seconds does the diver enter the water?
b) 1.9 seconds
How did you calculate 1) how many seconds (a) 0.4 seconds the diver reach her maximum height above the water and 2) how many seconds (b) 1.9 seconds the diver entered the water?
To calculate how many seconds it takes for the diver to reach her maximum height above the water, you need to find the x-coordinate on the graph where the height is at its maximum. In this case, the maximum height is 4.9 feet. Looking at the graph, you can see that this occurs at approximately 0.4 seconds.
To calculate how many seconds it takes for the diver to enter the water, you need to find the x-coordinate on the graph where the height returns to 0. This indicates when the diver has entered the water. Looking at the graph, you can see that this occurs at approximately 1.9 seconds.