The World record for the 100m-dash was just improved by Usain Bolt from Jamaica to 9.58 seconds. Assume that Lewis and Bolt were in the same race when setting the above times. How far behind would Lewis have been as Bolt crossed the finish line? (answer in m)
Bolt average velocity: 10.44 m/s              Lewis average velocity: 10.08           Lewis 100m-dash time: 9.92 s

To determine how far behind Lewis would have been when Usain Bolt crossed the finish line, we can follow these steps:

### Step 1: Calculate the distance covered by Lewis in the same time it took Bolt to finish (9.58 seconds).

We know that Lewis's average velocity is 10.08 m/s. Using the formula for distance:
\[
\text{Distance} = \text{Velocity} \times \text{Time}
\]
In this case, we use Lewis's velocity and the time it took Bolt to finish (9.58 s):
\[
\text{Distance}_{\text{Lewis}} = 10.08 \, \text{m/s} \times 9.58 \, \text{s} = 96.37 \, \text{m}
\]

### Step 2: Find the distance behind.
Since the total race length is 100 m, the distance behind is:
\[
\text{Distance behind} = 100 \, \text{m} - 96.37 \, \text{m} = 3.63 \, \text{m}
\]

### Conclusion:
Lewis would have been **3.63 meters** behind Bolt when Bolt crossed the finish line.

Would you like more details or have any questions?

### Related questions:
1. What was Usain Bolt's exact acceleration if we assume he accelerated uniformly?
2. How would the race result change if both athletes had the same acceleration?
3. If Bolt could maintain his top speed for 200 meters, how fast would he run that race?
4. How does the difference in reaction time at the start affect the race outcome?
5. What is the percentage improvement in Bolt's speed compared to Lewis?

**Tip**: In sprinting, a difference in average velocity of just 0.01 m/s can translate to significant differences in race outcomes over short distances.

The World record for the 100m-dash was just improved by Usain Bolt from Jamaica to 9.58 seconds. Assume that Lewis and Bolt were in the same race when setting the above times. How far behind would Lewis have been as Bolt crossed the finish line? (answer in m) Bolt average velocity: 10.44 m/s Lewis average velocity: 10.08 m/s Lewis 100m-dash time: 9.92 s

Discover how to calculate the distance between two runners, Usain Bolt and Lewis, in a 100m dash race. The problem involves kinematic concepts of velocity and time, suitable for students in Grades 9-12. Learn how Lewis, with an average velocity of 10.08 m/s, would be 3.63 meters behind Bolt at the finish line.

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