Calculating Race Time and Length with Different Speeds and Rest Periods

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    Race Time
In summary, the tortoise and hare race with the tortoise winning by 10cm. The hare runs 10 times faster than the tortoise but stops to rest for 3.00 min. The race takes t_tortoise, and the length of the race is 0.1 meters. The solve sheet mentions the distance the hare ran in the total time of the race, which is t_tortoise. The hare completed all but 10cm of the race in that time, and the units are missing.
  • #1
Optikspik
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Homework Statement


A tortoise can run with a speed of 10.0 cm/s, and a hare can run exactly 10 times as fast. In a race, they both start at the same time, but the hare stops to rest for 3.00 min. The tortoise wins by 10 cm.

(a) How long does the race take?

(b) What is the length of the race?

3. The Attempt at a Solution

I know how to solve it
53RTkPK.png


However in the solve sheet it says:

6mvbx4T.png


Where does the 0,2 come from? isn't it 0,1 meters when they cross the line. OR is it something about "the second before"
 
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  • #2
The right hand side says how far the hare ran in the total time of the race, which is t_tortoise. It should be assume that if the tortoise won by 10cm, that the hare completed all but 10cm of the race in that time. I am inclined to agree with your interpretation.
 
  • #3
That should be -0.1.
Units are missing.
 

What is the importance of finding the time of a race?

Finding the time of a race is important for various reasons. It allows for accurate record-keeping and comparison of performances among athletes. It also helps in determining the winner of a race and providing a fair competition for all participants.

How is the time of a race measured?

The time of a race is typically measured using a timing system, which can be manual or electronic. In manual timing, a person uses a stopwatch to record the start and end times of the race. In electronic timing, athletes wear chips or tags that are scanned at the start and finish lines to capture their times accurately.

What factors can affect the time of a race?

There are several factors that can affect the time of a race, including weather conditions, track or course conditions, and the overall fitness and performance of the athletes. Other external factors such as wind, altitude, and humidity can also impact the time of a race.

How is the time of a race used in training and preparation?

The time of a race can be used as a benchmark for athletes to track their progress and set goals for future races. Coaches and trainers also use race times to analyze an athlete's strengths and weaknesses and develop a training plan to improve their performance.

What are some common methods for finding the time of a race?

Some common methods for finding the time of a race include using a stopwatch, an electronic timing system, or a smartphone app. Additionally, some races may have multiple timing systems in place to ensure accuracy and provide multiple data points for analysis.

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