Precalculus

MOVIE SET SEASCAPE REALISM
OCEAN VOYAGE: No Vector Home
Each unit on the map represents 50 miles.

1. If the 'Start' of the voyage is at (0, 0) find the coordinates of the 'End'
of the voyage, and find the distance in miles. [ Use the distance formula or the Pythagorean Theorem - same thing, really. ]

2. Assume a ship moves in the direction of the 'End' at a speed of
30 miles per hour, represented in velocity by the vector < 120/√17, 30/ √17> on a grid where 1 unit = 1 mile. Find how long the voyage would be, using the formula
rate x time = distance time = distance/rate.

3. Verify that the magnitude of the ship's velocity vector is 30 mph.
[Verify: ||<120/ √17, 30/√17> || = 30. ]