Ariver flows due south at 5 mi/h. a swimmer attempting to cross the river heads due east swimming at 3 mi/h relative to the water. find the true velocity of the swimmer as a vector. (assume that the i vector points east, and the j vector points north.)

velocity of swimmer relative to ground = 3 i -5 j

Explanation:

Velocity of river = -5 j (south)

Velocity of swimmer relative to river = 3 i(north)

So

Velocity of swimmer relative to ground = 3 i -5 j

So magnitude of total velocity is = =

the entire statement is true and correct.  

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