Vectors
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- Pages: 26
VECTORS
A vector is represented by an arrow
The length represents the magnitude.
1cm = 1metre
The length represents the magnitude. The vector is drawn to scale
N 1cm = 1metre
The direction can be represented by a compass Or by axes
VECTORS CAN BE ADDED A B
VECTORS CAN BE ADDED B
A
A+B
VECTORS CAN BE ADDED A
B
VECTORS CAN BE ADDED B A B+A B (A + B )= (B + A)
A
VECTORS CAN BE SUBTRACTED A B
VECTORS CAN BE SUBTRACTED
B A
VECTORS CAN BE SUBTRACTED
-B
A-B
A
VECTORS CAN BE SUBTRACTED
B
A
VECTORS CAN BE SUBTRACTED
B B-A -A
VECTORS CAN BE SUBTRACTED -B
A-B B B-A A -A
VECTORS CAN BE SUBTRACTED
B-A
(B – A) = (A – B) A-B
1 CM = 2 SQUARES
N
B
A Determine the magnitude and direction of the resultant vector
1 CM = 2 SQUARES
R = 3 +4 2
N
B
2
R=5
tanӨ = 4/3 Ө = 53o Ө
A
B
A WHEN A AND B ADD TO GIVE A THIRD VECTOR, R A AND B ARE SAID TO BE COMPONENTS OF R
RELATIVE VELOCITY THERE IS NO ABSOLUTE FRAME OF REFERENCE ALL VELOCITIES ARE RELATIVE TO THE OBSERVER THE SPEED OF LIGHT IS ALWAYS CONSTANT
REFERENCE FRAMES Any measurement of position, distance, or speed must be made with respect to a reference frame. For example, if you are sitting on a train and someone walks down the aisle, their speed with respect to the train is a few miles per hour, at most. Their speed with respect to the ground is much higher.
REFERENCE FRAMES AND DISPLACEMENT We make a distinction between distance and displacement. Displacement (blue line) is how far the object is from its starting point, regardless of how it got there. Distance travelled (dashed line) is measured along the actual path.
REFERENCE FRAMES AND DISPLACEMENT THE DISPLACEMENT IS WRITTEN:
Left:
Right:
Displacement is positive.
Displacement is negative.
WHAT IS THE RELATIVE VELOCITY OF TWO CARS APPROACHING EACH OTHER WITH SPEEDS OF 20 MS-1 AND 30 MS-1?
V = 20 MS
-1
V = 30MS-1
If vb = 2m/s and vw = 3m/s calculate v
A vector is represented by an arrow
The length represents the magnitude.
1cm = 1metre
The length represents the magnitude. The vector is drawn to scale
N 1cm = 1metre
The direction can be represented by a compass Or by axes
VECTORS CAN BE ADDED A B
VECTORS CAN BE ADDED B
A
A+B
VECTORS CAN BE ADDED A
B
VECTORS CAN BE ADDED B A B+A B (A + B )= (B + A)
A
VECTORS CAN BE SUBTRACTED A B
VECTORS CAN BE SUBTRACTED
B A
VECTORS CAN BE SUBTRACTED
-B
A-B
A
VECTORS CAN BE SUBTRACTED
B
A
VECTORS CAN BE SUBTRACTED
B B-A -A
VECTORS CAN BE SUBTRACTED -B
A-B B B-A A -A
VECTORS CAN BE SUBTRACTED
B-A
(B – A) = (A – B) A-B
1 CM = 2 SQUARES
N
B
A Determine the magnitude and direction of the resultant vector
1 CM = 2 SQUARES
R = 3 +4 2
N
B
2
R=5
tanӨ = 4/3 Ө = 53o Ө
A
B
A WHEN A AND B ADD TO GIVE A THIRD VECTOR, R A AND B ARE SAID TO BE COMPONENTS OF R
RELATIVE VELOCITY THERE IS NO ABSOLUTE FRAME OF REFERENCE ALL VELOCITIES ARE RELATIVE TO THE OBSERVER THE SPEED OF LIGHT IS ALWAYS CONSTANT
REFERENCE FRAMES Any measurement of position, distance, or speed must be made with respect to a reference frame. For example, if you are sitting on a train and someone walks down the aisle, their speed with respect to the train is a few miles per hour, at most. Their speed with respect to the ground is much higher.
REFERENCE FRAMES AND DISPLACEMENT We make a distinction between distance and displacement. Displacement (blue line) is how far the object is from its starting point, regardless of how it got there. Distance travelled (dashed line) is measured along the actual path.
REFERENCE FRAMES AND DISPLACEMENT THE DISPLACEMENT IS WRITTEN:
Left:
Right:
Displacement is positive.
Displacement is negative.
WHAT IS THE RELATIVE VELOCITY OF TWO CARS APPROACHING EACH OTHER WITH SPEEDS OF 20 MS-1 AND 30 MS-1?
V = 20 MS
-1
V = 30MS-1
If vb = 2m/s and vw = 3m/s calculate v
