Projectile Motion of Dart: Calculating Distance and Release Point

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Homework Help Overview

The discussion revolves around a projectile motion problem involving a dart thrown horizontally towards a dart board. The scenario includes calculating the distance between the impact point and the target point, as well as determining the release distance from the board.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between horizontal and vertical motion, questioning how to calculate the vertical distance the dart falls during its flight. There is also a verification of the formula used to determine the dart's position upon impact.

Discussion Status

The discussion is active, with participants confirming the understanding of vertical motion and the application of formulas. Some guidance has been offered regarding the interpretation of the problem and the calculations involved.

Contextual Notes

Participants are working within the constraints of a homework assignment, focusing on the specifics of projectile motion without additional context or external resources.

frankfjf
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A dart is thrown horizontally with an initial speed of 11 m/s toward point P, the bull's-eye on a dart board. It hits at point Q on the rim, vertically below P, 0.19 s later. (a) What is the distance PQ? (b) How far away from the dart board is the dart released?

Is part a basically asking for the vertical motion?

Thanks.
 
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frankfjf said:
Is part a basically asking for the vertical motion?
Right. In other words: How far does the dart fall during its flight?
 
Just confirming that my formula is right here, wouldn't that be obtained by:

y = 11sin(0).19 - 4.9(.19)^2?
 
Right. That gives the y-coordinate of the dart when it hits the board.
 

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