A river flows due east at 1.50 m/s. Aboat crosses the river from the south shore

Question

A river flows due east at 1.50 m/s. Aboat crosses the river from the south shore to the north shore bymaintaining a constant velocity of 11.0 m/s due north relative to the water. (a) What is the velocity of the boat relativeto shore?
1 m/s
2° (north of east)

(b) If the river is 360 m wide, howfar downstream has the boat moved by the time it reaches the northshore?
3 m (a) What is the velocity of the boat relativeto shore?
1 m/s
2° (north of east)

(b) If the river is 360 m wide, howfar downstream has the boat moved by the time it reaches the northshore?
3 m

Explanation / Answer

a) (1.502 + 11.02) = 11.1 m/s = tan-1(11.0/1.50) = 82.2o b) 360/11.0 = x/1.5 x = 49.1 m

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