Graphing #2 - Advanced Slope Flashcards
Describe the velocity at E.
The velocity has decreased until it is amost zero.
Describe the velocity of the object at E.
At E, the object has stopped, so it has zero velocity.
The word slope means ______________
Steepness
Describe the slope at point D
Small positive slope
As you go along the curve from A to E, the slope
Decreases
It goes from large negative to zero.
As you go from A to D, the slope
Increases.
It goes from a slope of zero to a large negative slope.
Describe the overall motion of this object.
Starts at rest in a negative position. It speeds up in the positive direction and passes the reference point.
Describe the velocity at E
Velocity at E is zero.
(the slope of a position/time graph IS the velocity)
Compare slopes at A and B
Both slopes are large and negative. A has a higher slope.
Describe the Slope
Contant zero slope
Describe the slope at point D
Small positive slope
Describe Slope at C
Slope at C is medium and negative
Describe position and velocity at point A
The object is at the reference point and has not yet started to move.
Describe the Slope
This is a medium constant negative slope.
Describe the slope or steepness at A.
Zero
Velocity at A
Zero
(remember, the slope of a position/time graph IS the velocity)
The slope at D is….
Large and Negative
Describe how the slope changes on this graph
The graph starts with a small positive slope. The slope increases until point “c” Then the slope begins to decrease.
The slope is positive at all times in this graph.
The slope at C is…
The slope at C is medium and positive
Describe how the slope changes
Negative Slope
Decreasing Slope
(We say the slope is “decreasing” when the “hill” is getting less steep.)
Describe the position at A
High positive position
Describe the velocity at A
High Positive Velocity
(Remember, the slope of a position time graph IS the velocity.)
Slope at E is….
Zero
Describe the Slope of the Purple Line
Medium Positive Constant Slope
Compare slopes at C and D.
Slopes at C and D are both large and negative. The slope at D is larger.
Velocity at C
Negative velocity
Describe the Slope
The slope is medium, positive, and constant.
Describe the slope or steepness at B
Small negative slope
How would you describe the slope (steepness) at point A?
High Positive Slope
Describe the velocity of the object at A.
The velocity of the object at point A is zero.
In a motion graph, how do we decide which variable to put on the horizontal axis?
“Time”
Always goes on the horizontal axis for motion graphs in Mr. Bixel’s physical science class.
Compare slopes at C and D
Both are negative slopes
C has a higher slope
Describe the Slope
The slope is constant and zero
How would you describe the slope (steepness) at point A?
High Positive Slope
Describe the Slope of the Blue Line
Constant Slope of Zero
Describe the Slope
The slope is zero
The slope is constant
Slope or Steepness at A is…..
The slope at A is large and negative
Describe the Slope or Steepness of this graph
Small, Positive and Constant
Compare the slope of the line at points A and B.
Both have a high positive slope, but A has the highest slope.
Describe the Slope
Medium
Constant
Negative
Describe the motion of the object at E.
The object is moving quite fast in the negative direction.
The slope at C is…
The slope at C is medium and positive
As you go from A to E, the slope…
Decreases
Compare slopes at C and D
Both are negative slopes
C has a higher slope
Compare the slope of the line at points A and B.
Both have a high positive slope, but A has the highest slope.
Position at E is….
The position at E is almost zero
(it is very slightly positive)
Describe the Slope
Medium, Constant, Positive.
Describe the velocity at point A
The velocity at point A is zero.
(This is a velocity graph!)
Describe the steepness or slope at A
Zero
Describe the position at point A
The position at point A is zero. The object is at the reference point.
Describe the slope as time goes on.
Initial large positive slope.
Slope decreases as time goes on
The slope at D is….
Large and Negative
Describe the slope or steepness at B
Small negative slope
The slope(steepness) at D is…
The slope at D is large and positive.
Describe the Slope
Zero
(I guess its constant too)
Describe the slope
The graph starts with a large positive slope. The slope decreases to zero. Then, the slope becomes increasingly negative.
The slope at B is….
The slope is small and positive at point B
The slope(steepness) at D is…
The slope at D is large and positive.
True or False?
This object changes direction.
True.
The initial velocity of the object is negative. The object changes direction somewhere between C and D, and then moves in the positive direction.
Describe the position at D
Positive
Describe the position and velocity at point D.
The object is moving quite fast in the negative direction and is far from the reference point.
Describe the overall motion of this object.
Starts in a positive position with a high negative velocity. It passes the reference point while gradually slowing to a stop.
Describe the general motion of this object.
This object starts out “at rest.” It then gradually picks up speed as it passes the reference point moving in the negative direction.
What is secret # 4 for understanding these graphs
Secret #4
Just use the word “Steepness” instead of Slope when you write down your description o fthe graph.
Then, go back and erase the word “Steepness” and write in the word slope.
Describe the steepness or slope at A
Zero
Tell me about this object at point E.
It is now quite far from the reference point in the negative direction, but the object has come to a stop.
Describe the steepness of this graph
positive and increasing
Compare slopes at C and D
Both are negative slopes
C has a higher slope
Position at A is..
High positive
Describe Slope at C
Slope at C is medium and negative
Describe the slope of this graph
Slope is positive and decreases all the way down to zero slope. Then, the slope becomes increasingly negative
The slope at D is….
Large and Negative
Compare the slopes at points B and C
B has a high positive slope
C has a medium positive slope
What word can be used in the exact same place as the word slope?
Steepness
Describe the velocity at A.
Large Negative Velocity
As you go along the curve from A to E, the slope
Decreases
It goes from large negative to zero.
Slope at E is….
Zero
Describe the slope or steepness at A.
Zero
As you go along the curve from A to D, the slope…
Becomes increasingly positive.
Describe the Slope of this Graph
Starts with medium positive slope.
Slope gradually increases until it is quite steep.
Describe the motion of the object at D
At D, the object is moving quite fast in the negative direction.
Describe the Slope or Steepness.
Medium, Positive, and Constant Slope or Steepness.
Describe the slope or steepness at B
Small negative slope
If a graph has a positive steepness, how would you describe the slope
The graph has positive slope.
(Just replace the word steepness with slope)
Describe the Slope of the Red Line
The slope is infinite.
Some may describe this as “undefined.”
Describe the Slope of this Graph
Positive and Increasing
Describe the steepness
Negative Steepness
Decreasing Steepness
(We say the slope is “decreasing” when the “hill” is getting less steep.)
Describe the position at C
Positive
The slope at C is…
The slope at C is medium and positive
Describe the slope at point E.
Zero
Compare slopes at C and D.
Slopes at C and D are both large and negative. The slope at D is larger.
Describe the general motion of this object over the period of time graphed.
This object starts with a very high initial positve velocity, and a negative position. It slows down as it passes the reference point and eventually comes to rest at point E.
As you go along the curve from A to D, the slope…
Becomes increasingly positive.
Describe the velocity at point E.
The velocity at point E is high and positive.
(Its a velocity graph!!!)
What happens between B and C?
The object turns around.
(It was going in the negative direction, now it is going in the positive direction.
Compare slopes at A and B
Both slopes are large and negative. A has a higher slope.
As you go from A to D, the slope
Increases.
It goes from a slope of zero to a large negative slope.
Describe the Slope
The slope of a vertical line is infinity
(Some would say the slope is “undefined”)
Slope at E is….
Zero
Describe the slope of this graph.
The slope starts out medium and positive and is fairly constant.
Then, the slope rapidly decreases to zero and then becomes increasingly negative.
At the end, the slope is medium, constant and negative.
Compare the slopes at points B and C
B has a high positive slope
C has a medium positive slope
Describe the velocity at A.
The velocity at A is large and positive.
(Check the Axes!!)
How does the slope at point C compare to the slope at point D?
Both are postive slopes, but C has a higher slope.
Describe the Slope
Medium Slope
Negative Slope
Constant Slope
Describe the Slope
Constant
Medium
Positive
Describe the position at E
Positive
Slope or Steepness at A is…..
The slope at A is large and negative
Describe the velocity at D
At D, the object is moving quite fast and in the positive direction.
How does the slope at point C compare to the slope at point D?
Both are postive slopes, but C has a higher slope.
Velocity at A?
High Positive.
(Its a velocity graph!!!)
Compare slopes at C and D.
Slopes at C and D are both large and negative. The slope at D is larger.
Describe Slope at C
Slope at C is medium and negative
Describe the Slope
Starts with a small positive slope. The slope increases until it is medium and positive.
Describe the slope at point E.
Zero
True or False?
This object changes direction.
True!
It started out moving in the positive direction, changed directions at point C, and later moves in the negative direction.
The slope at B is….
The slope is small and positive at point B
What is happening at point D
The object has reached quite a high positive velocity and is about to blow past the reference point.
How does the slope at point C compare to the slope at point D?
Both are postive slopes, but C has a higher slope.
As you go along the curve from A to D, the slope…
Becomes increasingly positive.
The slope(steepness) at D is…
The slope at D is large and positive.
Describe the motion of the object at D.
The object is slowing down, and has almost stopped. It is still moving slowly in the negative direction.
Describe the Steepness
Constant Medium Positive Steepness (Slope)
Describe the position and velocity at point E
Object has reached the reference point and has come to a stop.
Describe the slope at point D
Small positive slope
As you go from A to E, the slope…
Decreases
As you go along the curve from A to E, the slope
Decreases
It goes from large negative to zero.
Describe the position and velocity at point A
Position is negative
Velocity is large and positive
Compare the slopes at points B and C
B has a high positive slope
C has a medium positive slope
Describe the slope or steepness at A.
Zero
Describe the position at A
Positive
Describe the Slope
Slope = Infinity
or
The slope is undefined.
What can you tell about this object at point A?
It is “at rest” and it is quite far from the reference point. Its position is negative.
Describe the Slope
Zero
Describe the position at point A
At point A, the object is:
- Far from the reference point.
- In a negative position
Describe the Slope
The graph has a Constant Large Negative Slope
The position at A is
Zero.
It is at the reference point.
As you go from A to D, the slope
Increases.
It goes from a slope of zero to a large negative slope.
Describe the Steepness
Medium, Constant, Negative Steepness
Velocity at A is …
At A, the velocity is large and negative.
Slope or Steepness at A is…..
The slope at A is large and negative
The slope at B is….
The slope is small and positive at point B
Compare the slope of the line at points A and B.
Both have a high positive slope, but A has the highest slope.
Describe the steepness or slope at A
Zero
How would you describe the slope (steepness) at point A?
High Positive Slope
Describe the Slope
The slope is constant and it is zero.
Describe the Slope
Initially, the slope is large and positive. The slope then decreases until it is small and positive.
What is this object doing at point A?
This object is at the reference point and is moving quite fast in the negative direction.
Compare slopes at A and B
Both slopes are large and negative. A has a higher slope.
Describe the Slope
Slope = 0 at the start.
Abruptly changes to constant negative medium slope.
Abruptly changes back to a slope of zero.
Describe the position at B.
Positive
As you go from A to E, the slope…
Decreases
Describe the position of this object at point A.
HOGWASH!!!!!
This is a velocity graph. It tells me nothing about position!!!!!
Describe the slope at point E.
Zero
Describe the slope of this graph
positive and increasing
Describe the Slope of this graph
Begins with a large positive slope.
The slope gradually decreases until the slope is equal to zero.
