Initial vs. Final velocity of projectile with no net displacement

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Homework Help Overview

The discussion revolves around the concept of projectile motion, specifically examining the relationship between initial and final velocities of a projectile that is thrown and caught at the same height, with constant horizontal velocity and no vertical displacement.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore whether the initial and final velocities are the same, considering both horizontal and vertical components of velocity. Questions arise regarding the implications of direction changes and the nature of velocity as a vector quantity.

Discussion Status

Some participants have provided insights into the vector nature of velocity, noting that while the magnitudes may remain the same, the directions differ. There is an ongoing exploration of how vertical and horizontal components interact, with no clear consensus reached yet.

Contextual Notes

Participants are discussing the implications of using vertical displacement equations in the context of horizontal motion, indicating a potential misunderstanding of how these components relate in projectile motion.

PhysicsAdvice
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if a ball is thrown and caught at the same height with constant horizontal velocity and no vertical displacement is its initial and final velocity the same?

since v2y^2=v1y^2+2aDy, no displacement means final vertical velocity will be the same as initial,

since v2x=v1x, horizontal velocity will be the same, so v2=v1
 
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Velocity is a vector quantity.

The direction of the ball when it is caught is different from when it is thrown.
 
right, so at first it would be in one direction then a different direction but does the value change other than that?
 
The magnitude of the velocity (which is the speed) will be the same. The velocity, however, will be different because the vertical component of velocity will have changed sign.
 
PhysicsAdvice said:
if a ball is thrown and caught at the same height with constant horizontal velocity and no vertical displacement is its initial and final velocity the same?

since v2y^2=v1y^2+2aDy, no displacement means final vertical velocity will be the same as initial,

since v2x=v1x, horizontal velocity will be the same, so v2=v1


Yup ! It would be the same but you can't using the vertical displacement equation to prove the horizontal velocity.:smile:
 

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