Two canoeists in identical canoes exert the same effort paddlingand hence mainta

Question

Two canoeists in identical canoes exert the same effort paddlingand hence maintain the same speed relative to the water. Onepaddles directly upstream (and moves upstream), whereas the otherpaddles directly downstream. With downstream as the positivedirection, an observer on shore determines the velocities of thetwo canoes to be -1.2m/sand +2.9 m/s, respectively. (a) What is the speed of the water relative to shore?
m/s

(b) What is the speed of each canoe relative to the water?
m/s
(a) What is the speed of the water relative to shore?
m/s

(b) What is the speed of each canoe relative to the water?
m/s

Explanation / Answer

a) let the speed of the canoe relative to the water is: v let the speed of the water relative to shore is v1 we have: v-v1 = -1.2 m/s (1) v+v1 = 2.9 m/s (2) (2)-(1) => 2v1 = 2.9m/s + 1.2 m/s = 4.1 m/s =>v1 = 2.05 m/s the speed of the water relative to shore is 2.05 m/s b) using (2) v = 2.9m/s - v1 = 2.9m/s - 2.05 m/s = 0.85m/s the speed of each canoe relative to the water is 0.85m/s

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