Average Velocity for One Person's Trip

Click For Summary
SUMMARY

The average velocity of a person running various distances was calculated incorrectly due to a miscalculation of total displacement. The individual ran 10.0m East in 2.0s, 5.0m East in 1.5s, and 30.0m West in 5.0s. The correct total displacement is 25m West, leading to an average velocity of 1.8m/s West, as confirmed by the textbook. The initial miscalculation of 2.9m/s West was resolved after reevaluating the displacement diagram.

PREREQUISITES
  • Understanding of average velocity calculations
  • Familiarity with vector displacement
  • Basic knowledge of time measurement in physics
  • Ability to interpret and draw displacement diagrams
NEXT STEPS
  • Review the concept of vector addition in displacement
  • Learn about the differences between speed and velocity
  • Practice problems involving average velocity calculations
  • Explore graphical representations of motion and displacement
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and motion analysis, as well as educators seeking to clarify concepts of average velocity and displacement.

Balsam
Messages
226
Reaction score
8

Homework Statement


A person runs 10.0m[E] in 2.0s, then 5.0m[E] in 1.5s, and finally 30.0m[W] in 5.0s. Find the person's average velocity.

Homework Equations


Vav= total displacement/total time[/B]
Total displacement=df=di

The Attempt at a Solution


[/B]
I found the total displacement to be 25m[W] and the total time to be 8.5s. Then, I used the formula to calculate average velocity, but my answer was different from the textbook's. I got 2.9m/s[W], but the answer in the book is 1.8m/s[W]. I don't know where I went wrong.
 
Last edited by a moderator:
Physics news on Phys.org
Balsam said:

Homework Statement


A person runs 10.0m[E] in 2.0s, then 5.0m[E] in 1.5s, and finally 30.0m[W] in 5.0s. Find the person's average velocity.

Homework Equations


Vav= total displacement/total time[/B]
Total displacement=df=di

The Attempt at a Solution


[/B]
I found the total displacement to be 25m[W] and the total time to be 8.5s. Then, I used the formula to calculate average velocity, but my answer was different from the textbook's. I got 2.9m/s[W], but the answer in the book is 1.8m/s[W]. I don't know where I went wrong.
Please show your detailed calculations so we can look for mistakes.
 
berkeman said:
Please show your detailed calculations so we can look for mistakes.

I just redrew my diagram and realized that I calculated the displacement wrong. I got the right answer now. Thanks anyways!
 
  • Like
Likes   Reactions: berkeman

Similar threads

  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
6
Views
2K
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 10 ·
Replies
10
Views
5K
  • · Replies 13 ·
Replies
13
Views
2K
Replies
1
Views
1K