Physics relative velocity questions?

Posted on 2015-12-04 06:46:00 in Physics by ROY

1.) You are crossing a river on a boat that is angled upstream. The river is flowing due south at 2. m/s. If your velocity relative to the ground is 8.4m/s at an angle of 25 degrees noth of east, then what is the speed and direction of the boat relative to the water.

2.) As two cargo ships approach a crane, the velocity of ship 1 with respect to ship 2 is 1.47m/s at 36 degrees north of east. If barge 1 has a velocity of 1.2m/s due north relative to the crane, then what is the velocity of ship 2 relative to the Crane. Please find both magnitude and direction.

3.) As a barge approaches a loading dock, a worker runs across the deck to help with the docking process. His velocity relative to the barge is 5m/s due south, but from the viewpoint of someone standing on the dock, he appears to be moving at 3.5m/s at 28 degrees south of east. What must the barge's velocity and direction be relative to the dock be?

I know its alot but i really need help with these. Please show work and how you did it, thank you!

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