Two-Dimensional Motion and Vectors Pg. 82-112 Summary Pg. 112.
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Transcript of Two-Dimensional Motion and Vectors Pg. 82-112 Summary Pg. 112.
• Imagine that you have a map that
leads you to a buried treasure.
• This map has instructions such as
15 paces to the north
of the skull.
• The 15 paces is
a distance and
north is a direction.
N
Scalar – a quantity that has a magnitude (number), but no direction
ex. Volume, mass 3 kg
Vector - a quantity that has a magnitude (number) and direction
ex. velocity, displacement, acceleration
3 m/s south
• Vectors can be moved parallel to themselves in a diagram
• Vectors can be added in any order
• To subtract a vector, add its opposite
Vectors can be added graphically
• Vectors: physical quantity with both magnitude and direction
• Examples of vectors in physics aredisplacement velocityacceleration forcemomentum angular momentum
• Keep track of vectors using symbols and diagrams–Example:
• If 2 more vectors act on the same point it is possible to find a resultant vector that has the same effect as the combo of individual vectors.
• The walkway will take the car and move it side ways before it drives off. The resultant velocity will be at an angle.–Vectors can be moved parallel to
themselves in a diagram–Vectors can be added in any order–To subtract a vector, add its opposite–Multiplying/dividing vectors by scalars
result in vectors.
Determining resultant magnitude
• If the movement is a straight line, Use the Pythagorean theorem to find the magnitude of the resultant
• Pythagorean Theorem for right triangles
d2 = x2 + y2
(Length of hypotenuse)2 = (length of one leg)2 + (length of the other leg)2
Determining resultant magnitude
• To completely describe the resultant you also need to find the direction also
• When the resultant forms a right triangle, use the tangent function to find the angle (θ) of the resultant
Determining resultant direction
An archaeologist climbs the Great Pyramid in Giza, Egypt. If the pyramid’s height is 136 m and its width is 2.30 x 102m, what is the magnitude and the direction of the archaeologist’s displacement while climbing from the bottom of the pyramid to the top?