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MFMcGraw-PHY 1401 Chapter 3b - Revised: 6/7/2010 1 
Motion in a Plane 
Chapter 3 
Page 2


MFMcGraw-PHY 1401 Chapter 3b - Revised: 6/7/2010 1 
Motion in a Plane 
Chapter 3 
MFMcGraw-PHY 1401 Chapter 3b - Revised: 6/7/2010 2 
Motion in a Plane 
•   Vector Addition 
•   Velocity 
•   Acceleration 
•   Projectile motion 
Page 3


MFMcGraw-PHY 1401 Chapter 3b - Revised: 6/7/2010 1 
Motion in a Plane 
Chapter 3 
MFMcGraw-PHY 1401 Chapter 3b - Revised: 6/7/2010 2 
Motion in a Plane 
•   Vector Addition 
•   Velocity 
•   Acceleration 
•   Projectile motion 
MFMcGraw-PHY 1401 Chapter 3b - Revised: 6/7/2010 3 
Graphical Addition and Subtraction 
of Vectors 
A vector is a quantity that has both a 
magnitude and a direction. Position is an 
example of a vector quantity. 
A scalar is a quantity with no direction.  The 
mass of an object is an example of a scalar 
quantity.  
Page 4


MFMcGraw-PHY 1401 Chapter 3b - Revised: 6/7/2010 1 
Motion in a Plane 
Chapter 3 
MFMcGraw-PHY 1401 Chapter 3b - Revised: 6/7/2010 2 
Motion in a Plane 
•   Vector Addition 
•   Velocity 
•   Acceleration 
•   Projectile motion 
MFMcGraw-PHY 1401 Chapter 3b - Revised: 6/7/2010 3 
Graphical Addition and Subtraction 
of Vectors 
A vector is a quantity that has both a 
magnitude and a direction. Position is an 
example of a vector quantity. 
A scalar is a quantity with no direction.  The 
mass of an object is an example of a scalar 
quantity.  
MFMcGraw-PHY 1401 Chapter 3b - Revised: 6/7/2010 4 
Notation 
Vector:  F F
?
or  
The magnitude of a vector: 
. or  or  F F
?
F
Scalar: m (not bold face; no arrow) 
The direction of vector might be “35 ? south of east”; 
“20 ? above the +x-axis”; or…. 
Page 5


MFMcGraw-PHY 1401 Chapter 3b - Revised: 6/7/2010 1 
Motion in a Plane 
Chapter 3 
MFMcGraw-PHY 1401 Chapter 3b - Revised: 6/7/2010 2 
Motion in a Plane 
•   Vector Addition 
•   Velocity 
•   Acceleration 
•   Projectile motion 
MFMcGraw-PHY 1401 Chapter 3b - Revised: 6/7/2010 3 
Graphical Addition and Subtraction 
of Vectors 
A vector is a quantity that has both a 
magnitude and a direction. Position is an 
example of a vector quantity. 
A scalar is a quantity with no direction.  The 
mass of an object is an example of a scalar 
quantity.  
MFMcGraw-PHY 1401 Chapter 3b - Revised: 6/7/2010 4 
Notation 
Vector:  F F
?
or  
The magnitude of a vector: 
. or  or  F F
?
F
Scalar: m (not bold face; no arrow) 
The direction of vector might be “35 ? south of east”; 
“20 ? above the +x-axis”; or…. 
MFMcGraw-PHY 1401 Chapter 3b - Revised: 6/7/2010 5 
To add vectors graphically they must be placed “tip to 
tail”.  The result (F
1
 + F
2
) points from the tail of the first 
vector to the tip of the second vector. 
This is sometimes called the resultant vector R 
F
1
 
F
2
 
R 
Graphical Addition of Vectors 
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FAQs on Motion in a Plane - Notes - Class 11

1. What is motion in a plane?
Ans. Motion in a plane refers to the movement of an object in two dimensions, usually in a horizontal plane (x-y plane). It involves both displacement and velocity vectors, and can be described using concepts such as position, velocity, acceleration, and time.
2. How is motion in a plane different from motion in a straight line?
Ans. Motion in a plane differs from motion in a straight line as it involves movement in two dimensions instead of just one. In motion in a straight line, the object moves along a single straight path, whereas in motion in a plane, the object can move in any direction within the plane.
3. What are the different types of motion in a plane?
Ans. The different types of motion in a plane include projectile motion, circular motion, and uniform circular motion. Projectile motion refers to the curved path followed by an object under the influence of gravity. Circular motion involves an object moving in a circle, while uniform circular motion occurs when the object moves in a circle with a constant speed.
4. How is displacement calculated in motion in a plane?
Ans. Displacement in motion in a plane can be calculated using the distance formula, which is the square root of the sum of the squares of the differences in coordinates between the initial and final positions in both x and y directions. It is represented as √((Δx)^2 + (Δy)^2).
5. What is the relationship between velocity and acceleration in motion in a plane?
Ans. In motion in a plane, velocity and acceleration are vector quantities. Velocity is the rate of change of displacement with respect to time, while acceleration is the rate of change of velocity with respect to time. The direction of acceleration can be different from the direction of velocity, indicating a change in speed or direction of motion.
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