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.

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 v_{b} is the velocity of the boat directed in + x direction. V_{r} is velocity of the river directed in -y direction. V_{br} is the relative velocity.

Here, v_{br} is the velocity of the boat relative to the water, v_{r }is the velocity of the river and v_{b} is the velocity of the boat. And theta is the angle between negative-y axis and the relative velocity.

Step 3

**Calculation:**

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

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