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Position Time Graph

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Submitted By doitright4sho
Words 604
Pages 3
To predict, sketch and test acceleration vs. time kinematics graphs
To review predicting and sketching distance vs. time and velocity vs. time kinematics graphs
PROCEDURE:
Begin by making charts like the one below for each of the following a-d
a. The man walks slowly to the house from the origin.
Position –Time Graph

The moving man starts at a position of -8 meters and is accelerating at 1 m/s 2. He starts with a velocity of 0 m/s. After 1 second, he will be going 1 m/s
(remember acceleration is 1 m/s per s so velocity will change by +1 m/s with each second that elapses). So after 2 seconds, he will be going 2 m/s, etc. If you carry this motion out with moving man, you see it will take him 4 seconds to get to the origin
(a position of 0 meters), or equivalently to move +8 meters from where he started.
At 4 seconds, he will have a velocity of 4 m/s

On the Position-Time graph, the line is a positive consistent rise. This is because his position is going in a positive direction as well as the time is going in a consistent positive direction.

Explanation for graph’s appearance –after actually performing the activity.
Velocity-Time Graph

On the Velocity-Time graph, the line is straight across at 2 m/s because the velocity does not change because of the consistent speed of the man walking to the house. Since the velocity is constant the acceleration is zero.

Explanation for graph’s appearance - after actually performing the activity.
Acceleration –Time Graph
On the Acceleration-Time graph, the line is flat and straight across at the 0 m/s line because the man does not accelerate. He just walks at a consistent pace to the house. This is called constant speed because there is no variation in his speed.

Explanation for graph’s appearance - after actually performing the activity.
The man is sleeping under the tree. When he wakes up he runs toward the house constantly speeding up as he goes.
On the Position-Time graph, there is a positive upward curved line. This is because both are moving in a positive direction but because he is running, the position is rising faster than the time. This upward curve indicates an increase in velocity.

On the Velocity-time graph, the line is a straight consistent rise. This is caused because the man is running so the velocity is rising throughout the graph, as is the position. A positive slope indicates a changing velocity which is a positive acceleration.

On the Acceleration-Time graph, the line constantly rising because the man is running, constantly speeding up.

The man steps outside the house pausing to lock the door. He then walks quickly for 3 meters then immediately slows down and walks the rest of the way at this slow pace to the tree.

On the Position-Time graph, the line spikes down quickly then continues in a downward consistent decline. This is because he ran for the first 3 meters then walked at a consistent speed. The reason it is going down is because he is going in the opposite direction. On the Velocity-Time graph, the line starts around the -3m mark and is flat for...
The man walks steadily toward the tree, stops to pick up a leaf, turns and walks steadily toward the house slowing to a stop before he arrives.
Use MOVING MAN to verify or correct your predicted graph with a different colored pen.
Explain the reasoning for each graph.

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