What is the relationship between motion and speed in juggling?

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Homework Help Overview

The discussion revolves around the motion of three identical balls thrown by a clown while juggling, with a focus on their initial speeds and the effects of different angles of projection. The participants explore the relationship between motion and speed, particularly in the context of horizontal and angled throws.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the timing of when the balls land, questioning whether balls thrown at different angles will hit the ground simultaneously. There is also exploration of the effects of vertical and horizontal throws on landing times.

Discussion Status

The conversation includes various perspectives on the timing of the balls' landing, with some participants offering insights based on personal experiments. There is an acknowledgment of differing opinions regarding the effects of vertical and horizontal throws, and some guidance is provided on the mechanics involved.

Contextual Notes

Participants reference classroom experiments and personal observations, indicating a mix of theoretical understanding and practical experience. There is an ongoing examination of assumptions about motion and speed in the context of juggling.

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Homework Statement


Three identical balls, all with the same initial speed, are thrown by a juggling clown on a tightrope. The first ball is thrown horizontally, the second is thrown at some angle above the horizontal, and the third is thrown at some angle below the horizontal. Disregarding air resistance, describe the motions of the three balls, and compare the speeds of the balls as they reach the ground.


Homework Equations





The Attempt at a Solution


I know that when the balls are thrown no matter their position, they will all land at the same time, but I am not sure about the speeds
 
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I know that when the balls are thrown no matter their position, they will all land at the same time, but I am not sure about the speeds

I'm not sure if I agree with you.

If the clown were to throw a ball at an angle below the horizontal (going towards the ground) and another ball going vertically up they aren't going to hit the ground at the same time.
 
the balls thrown vertically and horizontally will land at the same time though right?
 
the balls thrown vertically and horizontally will land at the same time though right?

How would you figure that?

I can already tell you the answer is no, but more importantly we need to correct this flaw in your reasoning.
 
we did an experiment in my class when you throw a ball directly vertical and a ball horizontally they land on the ground at the same time, but with the balls being thrown above and below the horizontal i suppose the results would be different
 
I think you mean, when a ball is DROPPED vertically and thrown horizontally, they land at the same time. If you actually throw a ball UP vertically, then it's not going to land at the same time as a ball thrown horizontally. (Just think, if you threw that ball really really hard, it'd take a while for it to come down right?)
 
If you threw a ball horizontally it would have no component of vertical velocity and begin falling towards the ground with an acceleration of g immediately upon release.

If you threw a ball directly upwards it would have some vertical velocity going upwards, so until this velocity is reduced to 0 it will continue to move in the upwards direction. Then, after it reaches its maximum height will it fall towards the ground with an acceleration of g.

Got it?
 
Matterwave said:
I think you mean, when a ball is DROPPED vertically and thrown horizontally, they land at the same time. If you actually throw a ball UP vertically, then it's not going to land at the same time as a ball thrown horizontally. (Just think, if you threw that ball really really hard, it'd take a while for it to come down right?)

yes that is what we did, my mistake.

yes i now understand. thank you both very much
 
Hahaha sarah i randomly found you on the internet
 

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