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.)
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
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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)...
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![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c23085c-d041-4baf-a967-24cb96374560%2F3bf71e95-015f-48b7-b883-3f4329faa615%2Fg9ua791_processed.jpeg&w=3840&q=75)
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?
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