Magnitude of average velocity and derive equation

Click For Summary
SUMMARY

The discussion focuses on calculating the magnitude of average velocity and average speed for a runner on a circular track with a radius of 200 meters, taking 2 minutes to reach the opposite side. The average velocity is determined to be 3.33 m/s, calculated using the formula for distance over time (400m/120s). Additionally, the discussion addresses the derivation of the kinematic equation Vf^2 = Vi^2 + 2ad, emphasizing the need for clarity in understanding the relationship between initial and final velocities, acceleration, and distance.

PREREQUISITES
  • Understanding of basic kinematics
  • Familiarity with circular motion concepts
  • Knowledge of significant figures in calculations
  • Ability to derive and manipulate kinematic equations
NEXT STEPS
  • Study the principles of average velocity and average speed in circular motion
  • Learn how to derive and apply kinematic equations, specifically Vf^2 = Vi^2 + 2ad
  • Explore the concept of significant figures in scientific calculations
  • Practice problems involving circular tracks and average velocity calculations
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and circular motion, as well as educators looking for examples to illustrate these concepts.

goldenroll
Messages
1
Reaction score
0
These 2 questions are confusing me, I have some idea about what to do, can someone help?

Question 1

Homework Statement


Consider a circular track with a radius of 200 meters, suppose it takes 2 minutes to run from her starting point to the opposite side of the track. What is the magnitude of her average velocity over this 2 minute interval? What is her average speed over the same interval?


The Attempt at a Solution


I did 400m/120s and got 3.33 m/s, and for speed 400m/120s = 3.33 m/s (should I be putting significant figures also or something?)


Question 2

Homework Statement


Derive Vf^2=Vi^2+2ad

Homework Equations



(I think this is equation for velocity of an object)

The Attempt at a Solution



I thought that you would treat it like a derivative and comes out to 2Vi+2, but I got it wrong.
 
Physics news on Phys.org
Find the length of the track along the circular path.Now find her velocity. This will be her average speed.
Initially her velocity in one direction. When she reaches the diaametrically opposite point, what is the direction of her velocity and what is the magnitude of her velocity?
Now find the average velocity.
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
5
Views
2K
Replies
20
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
8
Views
1K
Replies
5
Views
1K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 17 ·
Replies
17
Views
2K