A river flows due south with a speed of 2.0 m/s. You steer a motorboat across the river; your velocity relative to the water is 4.2 m/s due east. The river is 500 m wide. (a) Draw a diagram of the motion of the boat. (b) What is your velocity (magnitude and direction) relative to the earth?  (c) How far south of your starting point will you reach the opposite bank?

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
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A river flows due south with a speed of 2.0 m/s. You steer a motorboat across the river; your velocity relative to the water is 4.2 m/s due east. The river is 500 m wide.

(a) Draw a diagram of the motion of the boat.

(b) What is your velocity (magnitude and direction) relative to the earth? 

(c) How far south of your starting point will you reach the opposite bank? 

(d) In which direction should the motorboat head to reach a point on the opposite bank directly east from your starting point? (The boat’s speed relative to the water remains 4.2 m/s.) 

(e) What is the new velocity of the boat relative to the earth? 

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