6)The height over time graph of the first jump, down and back up, of a bungeejump.220200180160140120100806040203 4Time (in seconds)What is the minimum of this graph and what does it represent?What is the y-intercept of the graph? What does it represent?Part C: Does the graph have zero(s)? If so, identify the zero and whct itPart A:Part B:represents.Height (in feet)

Answered: The height over time graph of the first…

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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Question

6)
The height over time graph of the first jump, down and back up, of a bungee
jump.
220
200
180
160
140
120
100
80
60
40
20
3 4
Time (in seconds)
What is the minimum of this graph and what does it represent?
What is the y-intercept of the graph? What does it represent?
Part C: Does the graph have zero(s)? If so, identify the zero and whct it
Part A:
Part B:
represents.
Height (in feet)

Expert Solution

Step 1

Let $t$ denote time and $h (t)$ denote the height with respect to time $t .$

(a) what is the minimum of this graph and what does it represent?

The minimum point of this graph is the value of $h (t)$ such that derivative $h' (t)$ is zero. From, the graph it is clear that the minimum of this graph is $h (3)$ at $t = 3,$ here $0 < h (3) < 20 .$

$h (3)$ is the lowest value of height in a bungee jump.

(b) What is the y-intercept of the graph? What does it represent?

y-intercept of this graph lies between $180 < h (t) < 200$ . This is the point where a person in a bungee jump, jumps from.

From the graph, y-intercept is at $h (t) = 190 .$

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