VECTOR PRACTICE Name:
Consider the diagram below. Nine unique, labeled locations are provided on a grid. Each square on the grid represents a 20-meter x 20-meter area. Rightward on the grid is in the eastward direction and upward on the grid in the northward direction. Use the grid in answering the next few questions.
1. Suppose that a person starts at position A and walks to position E and then to position G. Fill in the table below to indicate the east-west and the north-south components of the individual legs of the walk and the components of the resulting displacement. Make the measurements off the grid. Finally, use the Pythagorean theorem and SOH CAH TOA to determine the magnitude and the direction of the resulting displacement.
Vector
A to E
East-West Component North-South Component
E to G
Resultant
A to G
Magnitude of Resultant: _________________________
Direction of Resultant: _________________________
2. During her recent trip to the grocery store, Claire de Iles walked 28 m to the end of an aisle. She then made a right hand turn and walked 12 m down the end aisle. Finally, she made another right hand turn and walked 12 m in the opposite direction as her original direction. Determine the magnitude of Claire's resultant displacement. (The actual direction - east, west, north, south are not the focus.)

A water balloon is launched with a speed of 40 m/s at an angle of 60 degrees to the horizontal. b. A rocket takes off at an angle of 72 degrees to the horizontal at a speed of 250 m/s.
4. Bob Beamons record-breaking long jump in the 1968 Olympics resulted from an initial velocity of
9.5 m/s at an angle of 40 degrees to the horizontal. a. Find the two components of his initial velocity. b. Using the initial velocity in the y direction, find his total time in the air. c. Using the initial velocity in the x direction, find his displacement horizontally.