Acceleration vs. Time graph confusion

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The discussion revolves around understanding acceleration vs. time graphs related to a physics homework assignment involving motion hypotheses. Three hypotheses are presented regarding the movement of a ring: slowing down, constant speed, and speeding up, each corresponding to different acceleration scenarios. Participants express confusion about how to plot the graphs accurately, particularly regarding starting data points and the interpretation of acceleration trends. Clarification is sought on how to represent the first hypothesis, specifically how to depict a decrease in acceleration on the graph. The conversation emphasizes the importance of correctly interpreting the relationship between acceleration, velocity, and position in graphing exercises.
Ryan1983
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Homework Statement



This HW is a continuation of the previous lab work we did involving, rings,spring scales and weights. The three hypothesis the groups came to were:
1.The ring will move in the direction of the interaction and will slow down.
2.The ring will move in the direction of the interaction at a constant speed.
3.The ring will move in the direction of the interaction and will speed up.

The H.W. then states:
The three hypotheses correspond, respectively, to velocity in the positive direction with acceleration in the
negative direction, velocity in the positive direction with no acceleration, and velocity in the positive direction
with acceleration in the positive direction. On the blank graphs I have provided on the next three pages,
plot the corresponding velocity-vs-time and position-vs.-time graphs for these three cases (the values I have chosen for the acceleration, initial velocity of 3 cm=s, and initial position of 0 cm do not have any special signi cance; they are just to help you find patterns). For cases 1 and 3, calculate the position values for t= 0:2 s,t=0:4 s,t= 0:6 s,t= 0:8 s,t= 1 s,t= 2 s,and t= 3 s. Use your discretion for the time values you chose for the velocity-vs.-time graph and the case-2 graphs. You'll need a centimeter stick (a ruler).As the yellow squares in the acceleration-vs.-time graphs for cases 1 and 3 illustrate, when you find the area, you always go from the curve to the time-axis.

Homework Equations



I understand how to find areas of both the squares and triangles.

The Attempt at a Solution


The first hypothesis deals with the interaction slowing down, so with the acceleration vs. time graph I understand that there would be a decrease in acceleration shown in that graph. However where would I start the data point? At zero? and then trend downward? He states that he choose 3cm but that's not given on the first graph.
 

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The first hypothesis deals with the interaction slowing down, ...
What leads you to think that? (It's not what the hypothesis numbered "1" says.)

Note: if you want to reference another post or thread, please provide a link.
 
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