What is the displacement and average velocity of a classic car in a road rally?

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SUMMARY

The discussion focuses on calculating the displacement and average velocity of a 1956 Studebaker Golden Hawk during a road rally. The car travels north at 25.0 m/s for 30.0 minutes, east at 32.0 m/s for 40.0 minutes, and northeast at 30.0 m/s for 50.0 minutes. Key calculations include determining the displacement vector's magnitude and direction, as well as the average velocity vector's magnitude and direction. The forum emphasizes the importance of vector representation for each segment to accurately compute total distance and average speed.

PREREQUISITES
  • Understanding of vector addition and components
  • Familiarity with basic kinematics equations
  • Knowledge of trigonometric functions for direction calculations
  • Ability to convert units of time into seconds for calculations
NEXT STEPS
  • Calculate displacement using vector addition for each segment of the trip
  • Determine average velocity by dividing total displacement by total time
  • Explore the concept of average speed as the total distance divided by total time
  • Review kinematic equations related to motion in two dimensions
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and vector analysis, as well as anyone interested in practical applications of motion in real-world scenarios.

dancingfish897
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Homework Statement


You enter an antique classic car road rally with your 1956 Studebaker Golden Hawk. The rally course consists of the following segments: travel north at 25.0 m/s for 30.0 min, then east at 32.0 m/sfor 40.0 min, and finally northeast at 30.0 m/s for 50.0 min. For the entire trip, determine the following.

(a) displacement vector (magnitude and direction) and distance traveled
displacement vector magnitude ____

displacement vector direction ___

distance ___

(b) average velocity vector (magnitude and direction) and average speed
average velocity vector magnitude ___

average velocity vector direction ____

average speed ____

Homework Equations

The Attempt at a Solution


I've been working on this problem for about an hour and haven't gotten it right yet.
 
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Did you try to draw ? You can find the distance traveled in eah segment and show them as a vector, since you have also direction information( which its given)
 

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