Answer to Question #147727 in Mechanics | Relativity for Estronomy

Question

A boat is heading north as it crosses a wide river with a speed of 8.00 km/h relative to the water. The river has a uniform velocity of 6.00 km/h dues east. Determine the magnitude and direction of the boat's velocity with respect to an observer on the riverbank. (Note write all the possible direction of the motion)

Answer 1

A boat must cross a river at direction $arcsin\frac 68\approx$ 49° N of W.

Magnitude is $\sqrt{8^2-6^2}=\sqrt{28}\approx 5.29 ~\frac{km}{h}.$