A river flows due east at 1.60 m/s. Aboat crosses the river from the south shore

Question

A river flows due east at 1.60 m/s. Aboat crosses the river from the south shore to the north shore bymaintaining a constant velocity of 15.0 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 370 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 370 m wide, howfar downstream has the boat moved by the time it reaches the northshore?
3 m

Explanation / Answer

(a)the velocity of the boat relative to shore R = (v^2 + v1^2)^(1/2) v = 15.0 m/s and v1 = 1.60 m/s the angle made by the boat tan = (v1/v) or = tan-1(v1/v) ------------(1) (b)Using trignometry tan = (x/d) or x = d * tan d = 370 m and the value of is obtained from equation(1)

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