Need help with a force vs time graph.

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Homework Help Overview

The discussion revolves around interpreting a force vs time graph to determine which interval corresponds to the greatest change in the speed of a body. The original poster is uncertain about the graph's implications and is seeking clarification on the relationship between force, acceleration, and speed changes.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to analyze the slope of the graph to infer changes in speed, questioning whether the interval with the greatest slope indicates the greatest change in speed. Some participants challenge this assumption and suggest a deeper examination of the graph's details.

Discussion Status

Participants are engaging in a productive dialogue about the relationship between force and acceleration, with some guidance provided regarding the fundamental principles involved. There is an ongoing exploration of the graph's intervals and their implications, but no consensus has been reached on the original poster's interpretation.

Contextual Notes

The original poster expresses concern about guessing the answer, indicating a desire for clarity before finalizing their response. There is mention of a specific figure that is not included in the discussion, which may limit the context for some participants.

Bensky
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[SOLVED] Need help with a force vs time graph. :(

Homework Statement


Which interval in Fig. MC3 corresponds to the greatest change in the speed of the body?
4-MC3.gif

Figure MC3 is above.

a) 1-2s
b) 0-1s
c) 2-3s


Homework Equations



None

The Attempt at a Solution



I figured out that 1-2s has the greatest slope of the three, would that indicate that it has the greatest change in speed? It seems logical to me but I don't really understand this graph, so I don't want to guess and get the wrong answer (this is my last try to get it right). It seems like it would be really simple.
 

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Bensky said:

Homework Equations



None

Wrong. What is the fundamental equation that relates force, mass and acceleration?
 
berkeman has it quite correct. Look at the relationship between force and rate of change of velocity (acceleration).

P.S. strictly this should be rate of change of momentum, but I won't confuse the issue ;-)

Edit: also, are you sure that the 1-2 second interval has the highest slope (gradient)? Look carefully.
 
Last edited:
OJones said:
berkeman has it quite correct. Look at the relationship between force and rate of change of velocity (acceleration).

P.S. strictly this should be rate of change of momentum, but I won't confuse the issue ;-)

Edit: also, are you sure that the 1-2 second interval has the highest slope (gradient)? Look carefully.

Thank you. :) solved
 

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