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# Solutions04 - Physics 140 - Discussion 04 - Solutions 3.35....

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Physics 140 - Discussion 04 - Solutions 3.35. I DENTIFY : Relative velocity problem in two dimensions. His motion relative to the earth (time displacement) depends on his velocity relative to the earth so we must solve for this velocity. (a) S ET U P : View the motion from above. The velocity vectors in the problem are: M/E , v r the velocity of the man relative to the earth W/E , v r the velocity of the water relative to the earth M/W , v r the velocity of the man relative to the water The rule for adding these velocities is M/E M/W W/E = + v v v r r r Figure 3.35a The problem tells us that W/E v r has magnitude 2.0 m/s and direction due south. It also tells us that M/W v r has magnitude 4.2 m/s and direction due east. The vector addition diagram is then as shown in Figure 3.35b. This diagram shows the vector addition M/E M/W W/E = + v v v r r r and also has M/W v r and W/E v r in their specified directions. Note that the vector diagram forms a right triangle. Figure 3.35b

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## This note was uploaded on 02/15/2012 for the course PHYS 140 taught by Professor Uher during the Winter '10 term at University of Michigan.

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Solutions04 - Physics 140 - Discussion 04 - Solutions 3.35....

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