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 speed of the boat's velocity relative to the water?Express your answer to two significant figures and include appropriate units.

Question
Asked Jan 25, 2019
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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 speed of the boat's velocity relative to the water?
Express your answer to two significant figures and include appropriate units.

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Expert Answer

Step 1

Finding the speed 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 relative velocity 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.

 

The relative velocity of the boat with respect to water can be found using the Pythagorean theorem.

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.

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Step 3

Calculation:

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

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