Calculating Average Speed: Step-by-Step Guide for East and North Travel

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SUMMARY

The discussion focuses on calculating the average speed of a car that travels east at 86 km/h for 6 hours and then at 112 km/h for 6 hours at an angle of 50.0° east of north. The average speed is determined by the total distance traveled divided by the total time taken. The total distance for the first leg is 516 km, and for the second leg, it is approximately 679.8 km, resulting in an overall average speed of 103.3 km/h for the entire trip.

PREREQUISITES
  • Understanding of basic physics concepts, specifically speed and velocity.
  • Knowledge of trigonometry to resolve the second leg of the trip into components.
  • Familiarity with distance calculation using the formula: distance = speed × time.
  • Ability to perform vector addition for calculating resultant distances.
NEXT STEPS
  • Study the concept of average speed and its mathematical definition.
  • Learn how to resolve vectors into components using trigonometric functions.
  • Explore practical applications of average speed in real-world scenarios.
  • Review problems involving multiple segments of travel to enhance problem-solving skills.
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding motion and speed calculations.

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Homework Statement


A car travels east at 86 km/h for 6 h. It then travels 50.0° east of north at 112 km/h for 6 h.
(a) What is the average speed for the trip?


How do I solve for the average speed?
 
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What's the definition of average speed?

You'll need to know that before you can calculate it.
 

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