Velocity and Acceleration Extra Credit Problem

AI Thread Summary
The discussion centers on the kinematic equation d = Vi t + 1/2 at^2, which describes the relationship between distance, initial velocity, acceleration, and time. Participants clarify the meanings of the variables: d represents distance, Vi is initial velocity, a is acceleration, and t is time. The equation can be verified through calculus, suggesting that a calculus-based approach may be necessary for a thorough understanding. There is an emphasis on the average speed formula v = (Vf + Vi)/2 and its relationship to the kinematic equation. The conversation highlights the importance of clarity in presenting physics problems and solutions.
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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