On August 16, 2009, Jamaican sprinter Usain Bolt set the world record in the 100 m dash with a time of 9.58 s. The table below gives Usain Bolt's split times at 10m intervals. (To give some meaning to these numbers, watch Bolt's historic run on YouTube.)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question
On August 16, 2009, Jamaican sprinter Usain Bolt set the world record in the 100 m dash with a time of 9.58 s. The table below gives Usain Bolt’s split times at 10 m intervals. (To give some meaning to these numbers, watch Bolt's historic run on YouTube.)

| Position [m] | Time [s] |
|--------------|----------|
| 0.0          | 0.00     |
| 10.0         | 1.89     |
| 20.0         | 2.88     |
| 30.0         | 3.78     |
| 40.0         | 4.64     |
| 50.0         | 5.47     |
| 60.0         | 6.29     |
| 70.0         | 7.10     |
| 80.0         | 7.92     |
| 90.0         | 8.75     |
| 100.0        | 9.58     |

(a) Determine Bolt’s **average speed** over the entire race.

(b) Plot Bolt’s **position** as a function of **time**.

(c) Plot Bolt’s **approximate instantaneous speed** as a function of **time**.

(d) Plot Bolt’s **approximate instantaneous acceleration** as a function of **time**.

(e) **Critical Thinking**: Interpret your plots. What do they tell you about Bolt’s run? Was acceleration constant? Was he still accelerating at the end of the race? When did he achieve his top speed?
Transcribed Image Text:On August 16, 2009, Jamaican sprinter Usain Bolt set the world record in the 100 m dash with a time of 9.58 s. The table below gives Usain Bolt’s split times at 10 m intervals. (To give some meaning to these numbers, watch Bolt's historic run on YouTube.) | Position [m] | Time [s] | |--------------|----------| | 0.0 | 0.00 | | 10.0 | 1.89 | | 20.0 | 2.88 | | 30.0 | 3.78 | | 40.0 | 4.64 | | 50.0 | 5.47 | | 60.0 | 6.29 | | 70.0 | 7.10 | | 80.0 | 7.92 | | 90.0 | 8.75 | | 100.0 | 9.58 | (a) Determine Bolt’s **average speed** over the entire race. (b) Plot Bolt’s **position** as a function of **time**. (c) Plot Bolt’s **approximate instantaneous speed** as a function of **time**. (d) Plot Bolt’s **approximate instantaneous acceleration** as a function of **time**. (e) **Critical Thinking**: Interpret your plots. What do they tell you about Bolt’s run? Was acceleration constant? Was he still accelerating at the end of the race? When did he achieve his top speed?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON