Acceleration vs. Time graph confusion

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SUMMARY

The discussion revolves around the interpretation of acceleration versus time graphs in a physics homework assignment involving a ring's motion. Three hypotheses are presented: the ring slowing down, moving at constant speed, and speeding up, each corresponding to different acceleration scenarios. The participants clarify how to plot velocity versus time and position versus time graphs based on these hypotheses, emphasizing the importance of starting points and trends in the graphs. Key calculations involve determining position values at specified time intervals using initial conditions of 3 cm/s velocity and 0 cm position.

PREREQUISITES
  • Understanding of kinematics, specifically velocity and acceleration concepts.
  • Familiarity with graphing techniques for velocity and position versus time.
  • Knowledge of calculating areas under curves in acceleration versus time graphs.
  • Basic skills in using a ruler for measurement in physics experiments.
NEXT STEPS
  • Study the principles of kinematics in physics, focusing on velocity and acceleration relationships.
  • Learn how to plot and interpret velocity versus time graphs in various motion scenarios.
  • Explore the concept of area under the curve in acceleration versus time graphs and its implications for motion.
  • Practice solving similar physics problems involving motion, acceleration, and graphing techniques.
USEFUL FOR

Students studying physics, particularly those tackling motion and graphing concepts, as well as educators seeking to clarify kinematic principles in classroom settings.

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.)

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