A river flows due east at 2.39 m/s. A boat crosses the river from the south shor

Question

A river flows due east at 2.39 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 13.2 m/s due north relative to the water.

a) what is the magnitude of the velocity of the boat as viewed by an observer on shore? answer in units of m/s

b) how many degrees of course is the boat forced by the current? answer in units of degrees

c) if the river is 209 m wide, how far down stream is the boat when it reaches the north shore? answer in units of m

Explanation / Answer

a) V observed = sqrt(current^2+(velocity relative to current)^2)= 13.42 m/s
b) off course= tan^-1(2.39/13.2) = 10.26 ?
c) how far downstream =(2.39/13.2) *209 = 37.84m

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