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You row a boat, click for picture, perpendicular to the shore of a river that flows at 3.0 m/s. The velocity of your boat is 4.0 m/s relative to the water.

*Picture link:
http://img208.imageshack.us/img208/7021/scanye9.jpg

a. What is the velocity of your boat relative to the shore?

b. What is the component of your velocity parallel to the shore? Perpendicular to it?

Please help me with this problem.
I'm having trouble understanding it.

2006-12-04 14:09:55 · 1 answers · asked by swimmertommy 1 in Science & Mathematics Physics

1 answers

Velocity is a vector so you need the speed and the direction.

a)
Speed: sqrt (3^2 + 4^3) = sqrt (16 + 9) = sqrt (25) = 5
Direction = arctan (4/3) = 53.14 degrees

b)
Parallel component: 3 m/s
Perpendicular component: 4 m/s

2006-12-04 14:23:00 · answer #1 · answered by David W 3 · 0 0

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