Finding initial velocity given displacement, time, and final velocity

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SUMMARY

The discussion centers on calculating the initial velocity of a woman running with uniform acceleration. Given a final velocity (vf) of 5.05 m/s, a displacement (x) of 253 m, and a time (t) of 6.12 s, the problem requires determining the initial velocity (vi). The average velocity during the acceleration was incorrectly calculated as 41.34 m/s, indicating a misunderstanding of the problem's parameters. The correct approach involves using the equations vf = vi + at and v = (xf - xi) / t to find the initial velocity accurately.

PREREQUISITES
  • Understanding of kinematic equations, specifically vf = vi + at
  • Knowledge of average velocity calculation, v = (xf - xi) / t
  • Familiarity with concepts of uniform acceleration
  • Basic algebra skills for solving equations
NEXT STEPS
  • Review kinematic equations in physics textbooks or online resources
  • Practice problems involving uniform acceleration and initial velocity calculations
  • Explore graphical representations of motion to visualize displacement and velocity
  • Learn about the implications of average velocity versus instantaneous velocity
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding motion dynamics and kinematic calculations.

dudelol
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Homework Statement


A woman running at constant velocity speeds up and accelerates uniformly to the west by running 253 m west in 6.12 s. ff she ends up getting up to a velocity of 5.05 m/s w, how fast was she going originally? If she had run the same disance in 5.50 s, what would her average velocity have been during her acceleration?
vf = final velocity = 5.5m/s
x = displacement = 253m
t = 6.12 s
find vi?

Homework Equations


vf=vi+at
v=(xf-xi)/t

The Attempt at a Solution


I honestly am stumped on this question.
average velocity during the acceleration 253/6.12 =41.34 m/s
 
Physics news on Phys.org
This woman would be running at like 100 miles per hour, and then the problem says she ends up "getting up to" a velocity of 5.05 m/s. Something's wrong here.
 

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