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A kayaker paddles at 4.0 m/s in a direction 30° south of west. He then turns and paddles at 3.7 m/s in a direction 20° west of south.


What is the magnitude of the kayaker’s resultant velocity? Round your answer to the nearest tenth.


___m/s

What is the direction of the kayaker’s resultant velocity?


___ ° south of west

please help

Verified Answer :

onyebuchinnaji

The magnitude of the kayaker's resultant velocity is 4.96 m/s.

The direction of the kayaker’s resultant velocity from the triangle is 20⁰ South of west.

Resultant velocity

The magnitude of the kayaker's resultant velocity is calculated by drawing the vector representation of the velocity to form a triangle, with side lengths of 3.7 m/s and 4 m/s, with 80⁰ angle between the two sides.

Let the resultant velocity = R

\(R^2 = 3.7^2 + 4^2 - 2(3.7 \times 4)\times cos (80)\\\\R^2 = 24.55\\\\R = \sqrt{24.55} \\\\R = 4.96 \ m/s\)

The direction of the kayaker’s resultant velocity from the triangle is 20⁰ South of west (alternate angles).

Learn more about resultant velocity here: https://brainly.com/question/24767211

Answer:

7.2 m/s

49 south of west

Explanation:

I got it correct on Edge. :)

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