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What information do you need in order to write the equation of a function that could model the gymnasť's path as they jump on the trampoline?

What information do you need in order to write the equation of a function that could model the gymnasť's path as they jump on the trampoline?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please do Q2 based on Q1 instructions. Thanks!

Your model must include the following: The trampoline is 1.5m above the ground The gymnast must jump at least twice in the 20 second interval Reaches a height of 4 m above the trampoline after 2 seconds prior to reaching an absolute maximum At least two turning points A local maximum at a height of 3m Positive and negative intervals It is important to note that the gymnast does not always reach the same height with each jump. 10 15 20 Time (seconds) -5 Height Above Trampoline's Surface (metres) 5.
Transcribed Image Text:Your model must include the following: The trampoline is 1.5m above the ground The gymnast must jump at least twice in the 20 second interval Reaches a height of 4 m above the trampoline after 2 seconds prior to reaching an absolute maximum At least two turning points A local maximum at a height of 3m Positive and negative intervals It is important to note that the gymnast does not always reach the same height with each jump. 10 15 20 Time (seconds) -5 Height Above Trampoline's Surface (metres) 5.
Task 2: Determining the equation of a function to model the path of the gymnast. 1. What type of function could model the gymnasť's distance from the trampoline as they jump? (circle one) Rational Quadratic Logarithmic Sinusoidal Polynomial 2. What information do you need in order to write the equation of a function that could model the gymnasť's path as they jump on the trampoline? 3. Determine the equation of your model that will pass through the point (2,4). Show all your work.
Transcribed Image Text:Task 2: Determining the equation of a function to model the path of the gymnast. 1. What type of function could model the gymnasť's distance from the trampoline as they jump? (circle one) Rational Quadratic Logarithmic Sinusoidal Polynomial 2. What information do you need in order to write the equation of a function that could model the gymnasť's path as they jump on the trampoline? 3. Determine the equation of your model that will pass through the point (2,4). Show all your work.
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