Question

A boat moves north at a uniform velocity of 15 mph relative to the shore from one side of the river to a point directly opposite on the other side of the river. The water in the river flows east at a constant speed of 5mph parallel to the shore. What is the velocity of the boat relative to the water?

Answer 1

Can you elaborate more?? I don't understand it..

Answer 2

boatrelative/shore= waterrelativeshore+boarrelativewater

These are vectors
15N=5E+boatrelativewater

boatrelativewater= 15N-5E

Now we can use the right triangle.
first, the angle: The angle theta measured from directly across the river upstream, Theta= arcTan5/15

Now, the magnitude: v=sqrt(15^2+5^2)

Answer 3

Thank you....