Question

a boat heading due north crosses a wide river with speed of 12km/h relative to the water the water in the river has a uniform speed of 5 km/h due east relative to the earth.determine the velocity of the boat relative to an observer standing on either bank and the direction of boat

Answer 1

Do vector addition of the two velocities to obtain boat's velocity V w.r.t.river bank:

V = sqrt(12^2+5^2) = 13 Km/hr
and
tan theta = 5/12; (theta - angle between V and north)

Answer 2

Positive

Answer 3

The boat is heading due north as it crosses a wide river with a velocity of 10 km/h relative to water. The river has a maintain velocity of 5 km/h due east. Determine the velocity of the boat with respect to an observer on the riverbank.