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### 301-C: Kinematic Graph Connections

• Topic Cluster: Kinematics
• Topic: Forward Kinematics Qualitative
• Objective: For single-step descriptions of motion, identify position, velocity, and acceleration graphs that describe that motion; for a given position, velocity, or acceleration graph, identify two other graphs that describe the same motion.
• Content: Position-time graphs, velocity-time graphs, and acceleration-time graphs can represent the same example of motion.
• Level: 2

#### Overview Table:

Position-Time Graph
Velocity-Time Graph
Acceleration-Time Graph
Motion Map
Moving at a Constant Velocity
Accelerating from Rest
Slowing down to Rest
Not Moving

It's very important to know that the acceleration-time graph of something moving at a constant velocity and something not moving at all are exactly the same! They both have an acceleration of zero!

#### Problem 1:

The boxes below contain 11 different graphs. They include position-time, velocity-time, and acceleration-time graphs. Below the boxes are four descriptions of different types of motion. For each description of motion, select three different graphs that describe the motion of that object. One of the graphs is used twice.

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1. Select three graphs that describe moving at a constant velocity.
2. Select three graphs that describe accelerating from rest.
3. Select three graphs that describe slowing down to rest.
4. Select three graphs that describe not moving.

#### Problem 2:

The boxes below contain 11 different graphs and four motion maps. Below the boxes are four descriptions of different types of motion. For each description of motion, select three graphs and one motion map that describe the motion of that object. One of the graphs is used twice.

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1. A driver finishes a race and then slows down to a stop. Select four boxes that describe this motion.
2. A driver is started a race and speeds up as fast as she can. Select four boxes that describe this motion.
3. The race hasn't started yet, and the car is not moving. Select four boxes that describe this motion.
4. During most of the race, the car is moving at a constant speed. Select four boxes that describe this motion.

#### Problem 3:

The boxes below contain 11 different graphs and four motion maps. Below the boxes are four descriptions of different types of motion. For each description of motion, select three graphs and one motion map that describe the motion of that object. One of the graphs is used twice.

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1. A squirrel is sleeping.
2. A squirrel is running at a constant velocity.
3. A squirrel sees an acorn and speeds up to reach it.
4. The squirrel grabs the acorn and then slows down to eat it.

#### BACK to Ladder Forward Kinematics Qualitative

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