Differentiate y component of velocity wrt time

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Homework Help Overview

The problem involves differentiating the y-component of velocity with respect to time for a ball thrown at a 45-degree angle in projectile motion. The focus is on understanding the implications of this differentiation in the context of gravitational effects.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the differentiation of the y-component of velocity and question whether it equals -g. There is also a consideration of how the sign of the result may depend on the chosen coordinate system.

Discussion Status

Some participants have provided affirmations regarding the differentiation leading to -g, while others are exploring the implications of coordinate system orientation on the sign of the result. The discussion is ongoing with multiple interpretations being considered.

Contextual Notes

There is an assumption that the upward direction is the standard orientation for the y-axis in this context, although this is being questioned by participants.

ZedCar
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Homework Statement


A ball is thrown with an angle of 45 degrees to the horizontal by a person standing on the ground.

The y-component of the velocity of ball in projectile motion is differentiated with respect to time. i.e. dv/dt of the y-component of velocity.

Homework Equations


The Attempt at a Solution



Does this equal -g? (not g)
 
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Hi ZedCar! :smile:
ZedCar said:
…. i.e. dv/dt of the y-component of velocity.

you mean,

d/dt of the y-component of velocity

or the y-component of dv/dt

or d/dt of vy :wink:
Does this equal -g? (not g)

yes :smile:
 
But isn't the sign supposed to depend on the orientation of the coordinate system?
 
failexam said:
But isn't the sign supposed to depend on the orientation of the coordinate system?

yes, but i think we can safely assume that the y direction mentioned in the question is the usual upward one :smile:
 

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