For graphs 4-6, all of my velocity and time graphs looked the same. Each was linear and increased positively, starting from a positive position. This was because each position vs.time graph had a positive, increasing slope. Since, the velocity vs.time graphs were linear, the acceleration (slope) was constant and positive. I'm not sure if my motions maps are right or not but for velocity I had even vectors that go in one direction in a straight line. For acceleration, the arrows were under one position since it is a constant graph. For instance, there are five vectors under 1 meter, because the velocity did not change, but the time did.
I have to disagree with Madison in the case of my velocity vs time graphs for 4-6 because mine did not all look the same. The first position vs time graph had a position which was decreasing exponentially so my first velocity had a linear line with a negative slope because the velocity was constantly approaching zero. However, my second velocity vs time graph was a horizontal line at zero until it reached the point where the position had changed and then the velocity graph changed into a linear line heading in the positive direction. This is because at that specific point the position began to increase exponentially so the velocity was now constantly increasing. In my third velocity vs time graph it begins as a positive linear line exactly like the last one, but then, when the position vs time graph changes, the velocity now becomes a horizontal line because the position is constantly increasing so the velocity remains the same. The acceleration vs time graphs are still confusing me a bit. I had a horizontal line for the first one because the acceleration was unchanging, and then the second one was a horizontal line only after the critical point of change had passed. I am very confused as to what the last one would look like however.
I agree with Jenny, and I almost have the same graphs as her. I am really starting to get the hang of the velocity vs. time and acceleration vs. time graphs.
I attempted to do the graphs, however, we haven't dealt with these shapes before. My acceleration graphs are a straight line but my other results vary.I am also still confused with motion maps.
I agree with Jenny as well. Our graphs are about the same. I was also a little confused about the motion maps. I am starting to understand it more though, and it is easier to see how the graphs translate into other ones with the practice. Aida Berg
I agree with Jenny, though my velocity vs. time graphs appear to all be variants of each other. They all have a non constant, positive slope, and the last two both have a constant slope. When they are plotted, the second and third graph both have the same non constant positive slope, but the area of constant slope appears on the opposite end of the graph (one at the start, the other at the end). -Noah Mascione
I'm still very confused on many parts of this lesson, such as how to draw the motion maps (which you said we would go over but we didn't have enough time), and the difference between velocity vs. time graphs and acceleration vs. time graphs. Beth McNamee
To answer your question about velocity vs. time graphs and acceleration vs. time graphs, the first thing to realize is that they ARE NOT like position vs. time graphs.
POSITION vs. TIME: 1. horizontal line- no movement
2. linear line- movement constant speed
3. exponential- constant acceleration
VELOCITY vs. TIME: 1. horizontal line- movement constant speed
2. linear line- constant acceleration
3. exponential- exponential acceleration
ACCELERATION vs. TIME: 1. horizontal line- constant acceleration
2. linear line- increasing/decreasing acceleration
3. exponential- exponential acceleration
The confusing thing is that when using position vs. time graph, in the negative means it is going backward. The thing you have to remember is this:
position vs. time: 1. negative: traveling backward
2. positive: forward,
3. zero: no displacement
velocity vs. time: 1. ANYTIME it is in the negative (even if it is moving closer to the x-axis): moving backward
2. ANYTIME it is in the positive (even if it is moving closer to the x-axis): moving forward
3. on the x-axis: no movement
acceleration vs. time: 1. ANYTIME it is in the negative (even if it is moving closer to the x-axis): decelerating /accelerating in the opposite direction
2. ANYTIME it is in the positive (even if it is moving closer to the x-axis): accelerating
3. on the x-axis: no acceleration (can still be moving)
This took a while to put together, so please let me know if it helps.
Can you post a picture of the graphs from class? (1-3) I am very confused on the entire thing, especially because I haven't been in class for a while. If you can, also post pictures of this homework sheet so I can see if I have an idea of what I should be doing. I still may have to come in during lunch when I get back but I would like to see if I have some of the right answers.
I'm still slightly confused when it comes to the acceleration arrows on the motion maps. What would they look like if there is a negative acceleration? Lizzie Peteraf
For graphs 4-6, all of my velocity and time graphs looked the same. Each was linear and increased positively, starting from a positive position. This was because each position vs.time graph had a positive, increasing slope. Since, the velocity vs.time graphs were linear, the acceleration (slope) was constant and positive. I'm not sure if my motions maps are right or not but for velocity I had even vectors that go in one direction in a straight line. For acceleration, the arrows were under one position since it is a constant graph. For instance, there are five vectors under 1 meter, because the velocity did not change, but the time did.
ReplyDeleteI have to disagree with Madison in the case of my velocity vs time graphs for 4-6 because mine did not all look the same. The first position vs time graph had a position which was decreasing exponentially so my first velocity had a linear line with a negative slope because the velocity was constantly approaching zero. However, my second velocity vs time graph was a horizontal line at zero until it reached the point where the position had changed and then the velocity graph changed into a linear line heading in the positive direction. This is because at that specific point the position began to increase exponentially so the velocity was now constantly increasing. In my third velocity vs time graph it begins as a positive linear line exactly like the last one, but then, when the position vs time graph changes, the velocity now becomes a horizontal line because the position is constantly increasing so the velocity remains the same. The acceleration vs time graphs are still confusing me a bit. I had a horizontal line for the first one because the acceleration was unchanging, and then the second one was a horizontal line only after the critical point of change had passed. I am very confused as to what the last one would look like however.
ReplyDeleteI agree with Jenny, and I almost have the same graphs as her. I am really starting to get the hang of the velocity vs. time and acceleration vs. time graphs.
ReplyDeleteMatt Epstein
I attempted to do the graphs, however, we haven't dealt with these shapes before. My acceleration graphs are a straight line but my other results vary.I am also still confused with motion maps.
ReplyDeleteI agree with Jenny as well. Our graphs are about the same. I was also a little confused about the motion maps. I am starting to understand it more though, and it is easier to see how the graphs translate into other ones with the practice.
ReplyDeleteAida Berg
I agree with Jenny, though my velocity vs. time graphs appear to all be variants of each other. They all have a non constant, positive slope, and the last two both have a constant slope. When they are plotted, the second and third graph both have the same non constant positive slope, but the area of constant slope appears on the opposite end of the graph (one at the start, the other at the end). -Noah Mascione
ReplyDeleteI'm still very confused on many parts of this lesson, such as how to draw the motion maps (which you said we would go over but we didn't have enough time), and the difference between velocity vs. time graphs and acceleration vs. time graphs.
ReplyDeleteBeth McNamee
To answer your question about velocity vs. time graphs and acceleration vs. time graphs, the first thing to realize is that they ARE NOT like position vs. time graphs.
DeletePOSITION vs. TIME:
1. horizontal line- no movement
2. linear line- movement constant speed
3. exponential- constant acceleration
VELOCITY vs. TIME:
1. horizontal line- movement constant speed
2. linear line- constant acceleration
3. exponential- exponential acceleration
ACCELERATION vs. TIME:
1. horizontal line- constant acceleration
2. linear line- increasing/decreasing acceleration
3. exponential- exponential acceleration
The confusing thing is that when using position vs. time graph, in the negative means it is going backward. The thing you have to remember is this:
position vs. time:
1. negative: traveling backward
2. positive: forward,
3. zero: no displacement
velocity vs. time:
1. ANYTIME it is in the negative (even if it is moving closer to the x-axis): moving backward
2. ANYTIME it is in the positive (even if it is moving closer to the x-axis): moving forward
3. on the x-axis: no movement
acceleration vs. time:
1. ANYTIME it is in the negative (even if it is moving closer to the x-axis): decelerating /accelerating in the opposite direction
2. ANYTIME it is in the positive (even if it is moving closer to the x-axis): accelerating
3. on the x-axis: no acceleration (can still be moving)
This took a while to put together, so please let me know if it helps.
Can you post a picture of the graphs from class? (1-3) I am very confused on the entire thing, especially because I haven't been in class for a while. If you can, also post pictures of this homework sheet so I can see if I have an idea of what I should be doing. I still may have to come in during lunch when I get back but I would like to see if I have some of the right answers.
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteI didn't completely copy the motion maps for #6, if you could post a picture that would be helpful
ReplyDeleteBeth McNamee
I'm still slightly confused when it comes to the acceleration arrows on the motion maps. What would they look like if there is a negative acceleration?
ReplyDeleteLizzie Peteraf