HW2 Solution

HW2 Solution - salazar(ggs332 HW02 TSOI(58160 This...

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salazar (ggs332) – HW02 – TSOI – (58160) 2 10. v b v r = tan θ Explanation: Let : v bs =? , boat relative to shore v ws = v r , water relative to shore v bs = v b , boat relative to water . This is a problem about relative velocity. See the figure below. L v bs v bw v ws θ The velocity of the boat relative to the shore is given by -→ v bs = -→ v bw + -→ v ws . It is easy to see from the figure above that v ws , v bw and v bs form a right triangle if the boat moves northward relative to the earth. Therefore, v ws = v bw sin θ = v bw v ws = 1 sin θ . 003 (part 2 of 2) 10.0 points If the time taken for the boat to cross the river is 10 . 2 min, determine the width of the river. Correct answer: 1 . 07619 km. Explanation: By similar reasoning, we know relative to the shore, the velocity of the boat is v bs = v ws tan θ = 6 . 33054 km / hr .
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