Calculating Race Time and Length with Different Speeds and Rest Periods

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SUMMARY

The discussion focuses on calculating the race time and length between a tortoise and a hare, where the tortoise runs at 10.0 cm/s and the hare at 100.0 cm/s but takes a 3.00-minute rest. The tortoise wins the race by 10 cm. The key calculations involve determining the total race time and the race length, with specific attention to the hare's distance covered during the tortoise's running time and the implications of the 10 cm lead.

PREREQUISITES
  • Understanding of basic kinematics and speed calculations
  • Familiarity with unit conversions, particularly between centimeters and meters
  • Knowledge of algebraic manipulation to solve equations
  • Ability to interpret race scenarios involving rest periods and relative speeds
NEXT STEPS
  • Calculate the total time taken for the tortoise and hare using distance = speed × time
  • Explore the implications of rest periods in competitive racing scenarios
  • Learn about relative speed concepts in physics
  • Investigate unit conversion techniques between different measurement systems
USEFUL FOR

This discussion is beneficial for students studying physics, particularly those focusing on kinematics, as well as educators looking for practical examples of speed and distance calculations in competitive scenarios.

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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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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.
 
That should be -0.1.
Units are missing.
 

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