A child has fallen into a river and needs to be rescued. The river is flowing at 10 m/s, and is 20 meters wide. The child is holding on to a rock that is sticking out above the water, so he is not moving with the river. The rescue boat starts 100 meters downriver on the opposite side as the child fell in. If the boat’s maximum velocity is 30m/s, then at what angle does the boat need to point in order to rescue the child?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 76P: A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h,...
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A child has fallen into a river and needs to be rescued. The river is
flowing at 10 m/s, and is 20 meters wide. The child is holding on to a rock that is sticking out
above the water, so he is not moving with the river. The rescue boat starts 100 meters downriver
on the opposite side as the child fell in. If the boat’s maximum velocity is 30m/s, then at what
angle does the boat need to point in order to rescue the child?

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