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### 302-D: Quantitative Kinematic Graphs 1: Learning Information from Kinematic Graphs at a Constant Velocity

• Topic Cluster: Kinematics
• Topic: Forward Kinematics Quantitative
• Objective: From a quantitative kinematic graph, gain information such as velocity and displacement.
• Content: The slope of a position-time graph is the velocity; the area under the curve of a velocity-time graph is the displacement
• Level: 2

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The slope of a position-time graph is the velocity of an object.

1. Determine the velocity of the object in the following graph.
2. Determine the velocity of the object in the following graph.
3. Determine the velocity of the object in the following graph.
4. Determine the velocity of the object in the following graph.

The area under the curve of a velocity-time graph is the displacement, or change in position.

Often, a velocity-time graph is horizontal, and the area is just the area of a rectangle, but we still refer to this as the "area under the curve>

1. Determine the displacement of the object in the following graph.
2. Determine the displacement of the object in the following graph.
• The instantaneous velocity of an object is its velocity at one instant in time.
• The slope of a position-time at some point in time is the called teh instantaneous velocity at that point in time.
• The average velocity represents the velocity averaged over a whole trip.
• The average velocity is calculated using the formula total displacement / total time.
1. Determine the instantaneous velocity of the object from 0 s to 20 s.
2. Determine the instantaneous velocity of the object from 20 s to 100 s.
3. Determine the average velocity of the object from 0 to 100 s. Remember that average velocity = total displacement / total time.
1. Determine the instantaneous velocity of the object from 0 s to 100 s.
2. Determine the instantaneous velocity of the object from 100 s to 200 s.
3. Determine the average velocity of the object from 0 to 200 s.
• The displacement of an object is its change in position over some period of time.
• The total displacement is the sum of many smaller displacements.
1. Determine the displacement of the object from 0 s to 20 s.
2. Determine the displacement of the object from 20 s to 60 s.
3. Determine the total displacement of the object.
1. Determine the displacement of the object from 0 s to 40 s.
2. Determine the displacement of the object from 40 s to 100 s.
3. Determine the total displacement of the object.

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