Homework SourseYou are playing shuffleboard on the deck of an ocean liner T
You are playing shuffleboard on the deck of an ocean liner. The ship is traveling in the direction N 30degrees E at a speed of 20 mi/h relative to the surface of the water. You give the disk a shove with your cue. The disk is traveling due West at a speed of 15 mi/h relative to the deck of the ship. Find the speed and the direction of the disk relative to the surface of the water.
Solution
v(disk/water)=v(disk/deck)+v(deck/water)
=-15i+20(cos30 j + sin30 i )
=-5i + 17.32 j
speed=sqrt(5^2+17.32^2)
=18.03
direction
tan=17.32/(-5)
=16.10 degrees west of north
