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1. What is the change in vertical position of the bungee jumper between t = 0 and t = 20 You may estimate using the graph or use the function. If you use the function, round to 1 decimal place. In either case, be sure to show all work as to how you arrived at the solution. 2. Estimate the jumper's average velocity on each of the following time intervals: [0,20] and [4,6]. Include the units and appropriate positive/negative sign. 3. Select a 3rd time interval in which the jumper's average velocity will be positive, and calculate it. State both the interval, and the average velocity (with the units).

1. What is the change in vertical position of the bungee jumper between t = 0 and t = 20 You may estimate using the graph or use the function. If you use the function, round to 1 decimal place. In either case, be sure to show all work as to how you arrived at the solution. 2. Estimate the jumper's average velocity on each of the following time intervals: [0,20] and [4,6]. Include the units and appropriate positive/negative sign. 3. Select a 3rd time interval in which the jumper's average velocity will be positive, and calculate it. State both the interval, and the average velocity (with the units).

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A bungee jumper dives from a tower at time t = 0. s(t)= 75 cos(0.8x) • e^ -0.2x + 75
1. What is the change in vertical position of the bungee jumper between t = 0 and t = 20? You may estimate using the graph or use the function. If you use the function, round to 1 decimal place. In either case, be sure to show all work as to how you arrived at the solution. 2. Estimate the jumper's average velocity on each of the following time intervals: [0,20] and [4,6]. Include the units and appropriate positive/negative sign. 3. Select a 3rd time interval in which the jumper's average velocity will be positive, and calculate it. State both the interval, and the average velocity (with the units). 4. Select a 4th time interval on which the jumper's average velocity will be negative, and calculate it. State both the interval, and the average velocity (with the units). What does the negative velocity indicate? 5. On what time interval(s) do you think the jumper achieves her greatest average velocity? Write at least one complete sentence explaining why. 6. Estimate the jumper's instantaneous velocity at t = 6. Show your work, and explain your reasoning. Include the units! https://activecalculus.org/single/sec-1-1-vel.html ©2012-2019 Matthew Boelkins
Transcribed Image Text:1. What is the change in vertical position of the bungee jumper between t = 0 and t = 20? You may estimate using the graph or use the function. If you use the function, round to 1 decimal place. In either case, be sure to show all work as to how you arrived at the solution. 2. Estimate the jumper's average velocity on each of the following time intervals: [0,20] and [4,6]. Include the units and appropriate positive/negative sign. 3. Select a 3rd time interval in which the jumper's average velocity will be positive, and calculate it. State both the interval, and the average velocity (with the units). 4. Select a 4th time interval on which the jumper's average velocity will be negative, and calculate it. State both the interval, and the average velocity (with the units). What does the negative velocity indicate? 5. On what time interval(s) do you think the jumper achieves her greatest average velocity? Write at least one complete sentence explaining why. 6. Estimate the jumper's instantaneous velocity at t = 6. Show your work, and explain your reasoning. Include the units! https://activecalculus.org/single/sec-1-1-vel.html ©2012-2019 Matthew Boelkins
Expert Solution
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Since you have posted a question with multiple sub parts, we will provide the solution only to the first three sub parts as per our Q&A guidelines. Please repost the remaining sub parts separately.

Given:

A bungee jumper dives from a tower at t equals 0.

The displacement-time relation for the bungee jumper is, s open parentheses t close parentheses equals 75 cos open parentheses 0.8 t close parentheses e to the power of negative 0.2 t end exponent plus 75.

To compute:

1. The change in the vertical position of the jumper between t equals 0 and t equals 20.

2. jumper's average velocity in the interval open square brackets 0 comma 20 close square brackets and open square brackets 4 comma 6 close square brackets.

3. the third time interval when the average velocity will be positive.

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