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A boy walks 20 m North and then turns and walks 20 m East. What is his displacement? Objective:
Objective: To begin our study of vectors
– Be able to combine vectors Vectors and scalars
Vectors and scalars A vector is a quantity that has both magnitude and direction
– Example: velocity A scalar is a quantity that has only magnitude
– Example: speed Vectors Scalars 2 dimensional motion
2 dimensional motion
Must be solved using vectors Displacement vectors Velocity vectors Acceleration vectors Force vectors
Vectors are represented by arrows: The magnitude is the length of the arrow The direction is the angle Combining vectors
Combining vectors Only the same type of vector can be combined. Combine (add) these Combine (add) these vectors Add these vectors
Add these vectors A person walks 25 m east and then 15 m A person walks 25 m east and then 15 m west. Later he walks 10 m North. What is his displacement? An airplane is flying due East with a An airplane is flying due East with a velocity of 10 m/s. The wind is blowing to the North at 5 m/s. What is the actual velocity of the plane? A boat is going upstream. The speed of A boat is going upstream. The speed of the boat is 45 m/s, but the river is flowing 20 m/s downstream. What is the actual velocity of the boat? On a treasure hunt, go 500 m north, 200 On a treasure hunt, go 500 m north, 200 m East, 300 m South and 400 m West. What is your displacement? An elephant pushes a truck with a force An elephant pushes a truck with a force of 5000 newtons East, while a hippo pushes the truck at 2000 newtons North. What is the force on the truck? Synthesis
I own/I don’t
Out: A sailboat is heading due west at 15 m/s. The wind is blowing at 5 m/s to the north. What is the actual velocity of the boat? ...
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This note was uploaded on 11/18/2011 for the course PHYS 121 taught by Professor Burgeson during the Fall '11 term at BYU.
- Fall '11