You ride in a boat on a river flowing at 1.7m/s(in the negative y direction). Suppose you would like the boat to move directly across the river (in the positive x direction) with a speed of 5.5m/s.What is the corresponding direction of the boat's velocity relative to the water (i.e. from the positive x direction)?Express your answer to two significant figures and include appropriate units.

Question
Asked Jan 25, 2019

You ride in a boat on a river flowing at 1.7
m/s
(in the negative y direction). Suppose you would like the boat to move directly across the river (in the positive x direction) with a speed of 5.5
m/s
.
What is the corresponding direction of the boat's velocity relative to the water (i.e. from the positive x direction)?
Express your answer to two significant figures and include appropriate units.

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Expert Answer

Step 1

Finding the direction of the boat's velocity relative to the water.

Given information:

River flowing at speed 1.7 m/s in the negative y direction.

We have to move the boat with speed 5.5 m/s in the positive x- direction.

Step 2

Formula used:

To find the direction we draw a vector diagram. In diagram vb is the velocity of the boat directed in + x direction. Vr is velocity of the river directed in -y direction. Vbr is the relative velocity.

Here, vbr is the velocity of the boat relative to the water, vr is the velocity of the river and vb is the velocity of the boat. And theta is the angle between negative-y axis and the relative velocity.

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Step 3

Calculation:

Substitute all the given values in equation-1 to find the direction o...

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