Yellowstone National Park is home to many geysers which send

Yellowstone National Park is home to many geysers, which send jets of hot water and steam into the air. Some of these geysers are listed below, with observations of height water to reach the peak, and the velocity of the water leaving the ground. Considering problems 32-34 on your original Exam 1 as well as what you have learned about quadratic functions, complete the remaining problems: Complete the table. Does it take twice as much initial velocity to propel the water twice as high? Discuss how height and initial velocity are related using specific examples from your table as well as reasoning from algebraic formula(s).

Solution

This problem can be solved by using the formula of speed or velocity which is equal to distance or to the height travelled divided by time.

Velocity = Height/ Time

For Steamboat Geyser, we have only be given velocity due to which we cannot fill the table for it.

Rest all have been completed and filled in Bold and Underlined digits.

	Old Faithful	Castle Geyser	Steamboat Geyser	Grotto Geyser	Giantess Geyser
Height, feet	180	179.74 = 180		10	160
Time, seconds	3.35	2.37		0.79	1.58
Velocity, feet per second	53.73	75.84	138.56	12.66	101.20