Is Gravity Always Negatively Affecting a Ball?

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Homework Help Overview

The discussion revolves around the analysis of motion in physics, specifically focusing on the behavior of a ball under the influence of gravity and the mathematical representation of motion in two dimensions using parametric equations. Participants explore concepts related to forces, velocity, and acceleration, as well as the interpretation of sinusoidal motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the implications of negative acceleration due to gravity and question the conventions of defining directions as positive or negative. They also explore the differentiation of parametric equations to find velocity and acceleration components, while some express confusion over notation and the application of calculus rules like the chain rule and product rule.

Discussion Status

The discussion is active, with participants providing guidance on differentiation techniques and clarifying the use of unit vectors in vector representation. There is an ongoing exploration of how to graph the motion described by the equations and how to interpret the resulting trajectories.

Contextual Notes

Participants note the need to clarify the path of the object on an xy graph, with some uncertainty about the specific requirements of the problem. There is also mention of the importance of correctly applying time in kinematic equations.

  • #61
Yea, it seems.
 
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  • #62
Could you check if I did this correct...

The componet for velocity is x’= -(5.00m) ω cos ωt and y’= (5.00m) ω sin ωt
At t=0 seconds, x’= -(5.00m) ω and y’=0m/s
The componet for acceleration is x’’=(5.00m)ω^2 sin ωt and y’’= (5.00m) ω^2 cos ωt
At t=0 seconds, x’’=0m/s^2 and y’’=(5.00m)ω^2
 
  • #63
Looks ok to me.
 
  • #64
I wasnt sure if the omega symbol needed to be included in the answer or not, just checking
 

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