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.) Position [m] Time [s] 0.00 1.89 2.88 0.0 10.0 20.0 30.0 40.0 50.0 60.0 70.0 80.0 90.0 100.0 3.78 4.64 5.47 6.29 7.10 7.92 8.75 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.
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.) Position [m] Time [s] 0.00 1.89 2.88 0.0 10.0 20.0 30.0 40.0 50.0 60.0 70.0 80.0 90.0 100.0 3.78 4.64 5.47 6.29 7.10 7.92 8.75 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.
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Need help with part d.
![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.)
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%2Faa624ae8-7818-42e3-87e3-d1c166590570%2F39bl4g_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 10m 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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