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Unit 1: Motion, Force, Density, and Kinetic Theory
1.1 Motion
1.1.3 Velocity-Time Graphs
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Cards (28)
A straight line with a positive gradient on a velocity-time graph represents
acceleration
A horizontal line on a velocity-time graph shows the object is accelerating
False
The gradient of a velocity-time graph represents the acceleration of the object.
True
If the velocity increases from 5 m/s to 15 m/s over 2 seconds, the acceleration is 5 m/s^2.
True
A straight horizontal line on a velocity-time graph represents constant velocity.
True
The area under a velocity-time graph represents the object's
displacement
.
True
A straight horizontal line on a velocity-time graph represents
constant
velocity.
Steps to calculate acceleration from a velocity-time graph
1️⃣ Identify a section of the graph where the velocity is changing linearly
2️⃣ Choose two points on this straight line section
3️⃣ Calculate the change in velocity between the two points
4️⃣ Calculate the change in time between the two points
5️⃣ Divide the change in velocity by the change in time
Steps to calculate distance from a velocity-time graph
1️⃣ Divide the graph into simple geometric shapes
2️⃣ Calculate the area of each shape
3️⃣ Sum the areas of all shapes
What is a velocity-time graph used to represent?
Velocity over time
A straight line with a negative gradient on a velocity-time graph indicates
deceleration
True
The gradient of a velocity-time graph represents the object's
acceleration
A velocity-time graph plots velocity on the y-axis against time on the
x
-axis.
On a velocity-time graph, acceleration is represented by a straight line with a positive
gradient
.
Arrange the key parts of a velocity-time graph in order of their interpretation:
1️⃣ Horizontal Line (Constant Velocity)
2️⃣ Positively Sloped Line (Acceleration)
3️⃣ Negatively Sloped Line (Deceleration)
4️⃣ Area Under the Curve (Displacement)
What type of line on a velocity-time graph represents acceleration?
Positive gradient
What is the acceleration of an object if its velocity increases from 5 m/s to 15 m/s over 2 seconds?
5
m / s
2
5 \, \text{m / s}^{2}
5
m / s
2
What is the area of a triangle in a velocity-time graph if its base is 2 seconds and its height is 10 m/s?
10
m
10 \, \text{m}
10
m
A straight horizontal line on a velocity-time graph indicates
constant velocity
True
What does the area under a velocity-time graph represent?
Displacement
To calculate the
acceleration
of an object from a velocity-time graph, we need to find the
gradient
of the graph.
gradient
Steps to calculate acceleration from a velocity-time graph:
1️⃣ Identify a section of the graph where the velocity is changing linearly
2️⃣ Choose two points on this straight line section
3️⃣ Calculate the change in velocity between the two points
4️⃣ Calculate the change in time between the two points
5️⃣ Divide the change in velocity by the change in time
Match the motion type with its velocity-time graph:
Constant Velocity ↔️ Horizontal line at a constant velocity value
Acceleration ↔️ Upward sloping line
Deceleration ↔️ Downward sloping line
Match the part of a velocity-time graph with its interpretation:
Horizontal Line ↔️ Constant Velocity
Positively Sloped Line ↔️ Acceleration
Negatively Sloped Line ↔️ Deceleration
Area Under the Curve ↔️ Displacement
What is plotted on the y-axis of a velocity-time graph?
Velocity
The area under a velocity-time graph represents
displacement
.
True
To calculate the distance traveled from a velocity-time graph, you need to find the area under the
curve
.
The area under the entire velocity-time curve represents the total displacement.
True
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