Average Velocity and Acceleration Calculations for Walking Man

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SUMMARY

The discussion focuses on calculating average velocity and average acceleration for a man walking at a constant speed of 1.9 m/s over specified time intervals. The average velocity (vavg) from 2.000 min to 7.60 min is calculated incorrectly as 0.882 m/s, while the average acceleration (aavg) is mistakenly computed as 0.006 m/s². The correct approach involves using the total distance covered and the total time for accurate calculations. Key errors include miscalculating time intervals and incorrect unit conversions.

PREREQUISITES
  • Understanding of kinematics, specifically average velocity and average acceleration
  • Familiarity with time conversion from minutes to seconds
  • Basic algebra for manipulating equations
  • Knowledge of distance-speed-time relationships
NEXT STEPS
  • Study the concept of average velocity using the formula vavg = total distance / total time
  • Learn how to calculate average acceleration with aavg = change in velocity / time interval
  • Practice unit conversions, particularly converting minutes to seconds for physics calculations
  • Explore kinematic equations for uniformly accelerated motion
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Students studying physics, particularly those focusing on kinematics, as well as educators looking for examples of average velocity and acceleration calculations.

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Homework Statement



From t = 0 to t = 5.00 min, a man stands still, and from t = 5.00 min to t = 10.0 min, he walks briskly in a straight line at a constant speed of 1.9 m/s.

Homework Equations



(a) What is his average velocity vavg in the interval 2.000 min to 7.60 min? ___m/s

(b) What is his average acceleration aavg in the interval 2.00 min to 7.60 min? ___m/s2

(c) What is vavg in time 3.00 min to 9.00 min? ___m/s

(d) What is aavg in time 3.00 min to 9.00 min? ___m/s2


The Attempt at a Solution



a) 1.9*2.6/5.6 = .882 m/s right

b) 1.9/5.6/60 = .006 m/s2 wrong

c) 1.9*2.6/7 = .707 m/s wrong

d) 1.9/6/60 = .005 m/s2 wrong

Where did I go wrong?
 
Physics news on Phys.org
how do you determine average velocity and average acceleration?
why are you dividing by 60 in b and d?
where did you get the 2.6/7 in c?
compare - how did you get the 2.6 and the 5.6 in a?
 

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