Acceleration vs. Time graph confusion

In summary, the homework involves analyzing the movement of a ring on a spring scale with different interactions. The three hypotheses correspond to different scenarios with the ring either slowing down, moving at a constant speed, or speeding up. The homework also includes plotting velocity-vs-time and position-vs-time graphs for these scenarios. The acceleration, initial velocity, and initial position values provided are just for reference and do not hold any special significance. The homework also requires calculations of position values at specific time points and the use of a centimeter stick. Additionally, the areas of squares and triangles on the acceleration-vs-time graphs must be calculated, with the direction of calculation going from the curve to the time-axis. The first hypothesis, which involves the interaction slowing down, would
  • #1
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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  • #2
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.
 

1. What is an acceleration vs. time graph?

An acceleration vs. time graph is a graphical representation of an object's acceleration over time. The horizontal axis represents time and the vertical axis represents acceleration. It is commonly used to analyze the motion of objects and determine their acceleration at different points in time.

2. How do I interpret an acceleration vs. time graph?

To interpret an acceleration vs. time graph, look at the slope of the line. The steeper the slope, the greater the acceleration. A horizontal line indicates constant acceleration, while a curved line indicates changing acceleration. The area under the curve represents the object's change in velocity.

3. What is the difference between acceleration and velocity?

Acceleration is the rate of change of an object's velocity. It measures how fast an object's velocity is changing over time. Velocity, on the other hand, is the rate of change of an object's position. It measures the speed and direction of an object's motion.

4. Can an object have a constant velocity and changing acceleration?

Yes, an object can have a constant velocity and changing acceleration. This can happen when an object is moving at a constant speed in a circular motion. The velocity remains the same, but the direction of motion is constantly changing, resulting in a changing acceleration.

5. What causes changes in acceleration on an acceleration vs. time graph?

Changes in acceleration on an acceleration vs. time graph can be caused by various factors, such as a change in the force applied to the object, a change in the object's mass, or a change in the object's direction of motion. Any external force acting on the object can cause a change in its acceleration.

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