Velocity and Acceleration Extra Credit Problem

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SUMMARY

The discussion centers around the kinematic equation d = Vi t + 1/2 at², which describes the relationship between distance (d), initial velocity (Vi), time (t), and acceleration (a). Participants clarify the meanings of each variable, with Vi representing initial velocity and a representing acceleration. The equation can be validated using calculus, specifically through the application of limits and derivatives to demonstrate its correctness in a physics context.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Basic knowledge of calculus concepts
  • Familiarity with variables representing motion (e.g., velocity, acceleration)
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the derivation of kinematic equations using calculus
  • Learn about the concept of limits in calculus
  • Explore the relationship between average speed and instantaneous speed
  • Investigate real-world applications of kinematic equations in physics
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Students in physics courses, particularly those studying motion and kinematics, as well as educators looking for clear explanations of fundamental physics concepts.

FreshmanInPhysics

Homework Statement


d=Vi t + 1/2at^2
What do each of these mean? Show that this is true

d=vt-Solve

v=Vf+Vi/2 - Substitute Vf with Vf= Vi+at

Homework Equations


v= average speed
Vi=initial speed
Vf= final speed

The Attempt at a Solution


Vit: This represents the initial velocity at said time elapsed
1/2at^2: This represents half the acceleration at said time elapsed squared

d/t=v

v=2Vi+at/2


 
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FreshmanInPhysics said:

Homework Statement


d=Vi t + 1/2at^2
What do each of these mean? Show that this is true

d=vt-Solve

v=Vf+Vi/2 - Substitute Vf with Vf= Vi+at

Homework Equations


v= average speed
Vi=initial speed
Vf= final speed

The Attempt at a Solution


Vit: This represents the initial velocity at said time elapsed
1/2at^2: This represents half the acceleration at said time elapsed squared

d/t=v

v=2Vi+at/2

Welcome to the PF.

Your post is a bit jumbled. Are you in a calculus-based physics class? Calculus is one way you can show that this equation is correct.
 

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