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### 301-B: Velocity and Acceleration Graphs

• Topic Cluster: Kinematics
• Topic: Forward Kinematics Qualitative
• Objective: Identify velocity-time and acceleration-time graphs for single-step descriptions of motion
• Content: Velocity-time and acceleration-time graphs are two other ways to represent how something is moving.
• Level: 1

#### Velocity-Time Graphs

A velocity-time graph describes how fast an object is moving. If the velocity is higher, the object is moving faster. If the velocity is lower, it is moving slower. If the velocity is zero, the object is not moving.

• Velocity-time graph for an object moving with a constant velocity:
• Velocity-time graph for an object that is speeding up (positive acceleration):
• Velocity-time graph for an object that is slowing down (negative acceleration):
• Velocity-time graph for an object that is not moving:

For each description of motion, select the corresponding velocity-time graph.

1. A dog is asleep.
2. A:
3. A dog was running fast and then slows down the stop.
4. B:
5. A dog is not moving, but then suddenly sees a squirrel and runs after it.
6. C:
7. A dog is walking along at a constant speed and wagging his tail.
8. D:

#### Acceleration-Time Graphs

An acceleration-time graph describes the rate of change of an objects velocity. The acceleration-time graph is frequently the most counter-intuitive of all the kinematic graphs. In this unit, we will only learn about constant acceleration motion, meaning the acceleration-time graphs will always be horizontal lines or connected horizontal lines.

• Acceleration-time graph for an object moving at a constant velocity.
• Acceleration-time graph for an object that is speeding up (positive acceleration).
• Acceleration-time graph for an object that is slowing down (negative acceleration).
• Acceleration-time graph for an object that is not moving.

There is an important point here: the acceleration-time graph for something that is not moving looks exactly the same as the acceleration graph for something moving at a constant velocity! They both have an acceleration of zero!

For each description of motion, select an an acceleration graph that represents that motion. One of the graphs is used twice.

1. A rocket ship is on the launchpad and hasn't yet taken off.
2. A:
3. A rocket ship takes off and speeds up while moving towards space.
4. B:
5. The rocket ship moves at a constant velocity towards the moon.
6. C:
7. The rocket ship slows down in order to land on the moon.

For each velocity-time graph, select the corresponding acceleration-time graph. One of the acceleration-time graphs is used twice.

1. A:

2. B:

3. C:

#### BACK to Ladder Forward Kinematics Qualitative

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