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(I know the velocity (1.6m/s) and now I want to find the angle of the vector. )

A rower intends to row his raft at its top speed of 1.5 m/s from the south bank of a river to a point
directly opposite on the north bank. He fails to recognise the river current which pulls a Jog west at
0.50 m/s, What is the raft's resultant velocity with respect to the bank?

User Jmnas
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1 Answer

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Answer:

R = 1.5 to the northeast

C = .5 to the west

B = C + R adding vectors head to tail

Vector B will be straight north or directly across the river

B = (1.5^2 - .5^2)^1/2

B = 2^1/2 = 1.41

Adding the vectors as described shows that if the rower rows at 1.5 m/s in a northeasterly direction and the river carries the boat downstream at .5 m/s the net speed of the boat is 1.41 m/s straight north

User Mlovic
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