4. A straight river flows north at a speed of 3 mi/h. A boater attempting to cross the river heads due east having a speed of 4 mi/h relative to the water. (a) Find the true velocity of the motorboat; (b) Find the true speed of the motorboat; (c) find the angle a between the true velocity of the motorboat and the velocity of the water flow.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter3: Motion In Two Dimensions
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4. A straight river flows north at a speed of 3 mi/h. A boater attempting to cross the river heads
due east having a speed of 4 mi/h relative to the water.
(a) Find the true velocity of the motorboat;
(b) Find the true speed of the motorboat;
(c) find the angle a between the true velocity of the motorboat and the velocity of the water flow.
Answer: (a) u (4,3) = 4ỉ + 3j; (b) |ū| = 5 mi/h; (c) a = cos
=
¹)
Transcribed Image Text:4. A straight river flows north at a speed of 3 mi/h. A boater attempting to cross the river heads due east having a speed of 4 mi/h relative to the water. (a) Find the true velocity of the motorboat; (b) Find the true speed of the motorboat; (c) find the angle a between the true velocity of the motorboat and the velocity of the water flow. Answer: (a) u (4,3) = 4ỉ + 3j; (b) |ū| = 5 mi/h; (c) a = cos = ¹)
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