BASIC BIOMECHANICS
BASIC BIOMECHANICS
8th Edition
ISBN: 9781259913877
Author: Hall
Publisher: RENT MCG
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Chapter 15, Problem 1IP
Summary Introduction

To determine: The velocities of the swimmer with respect to the current when the boy swims directly upstream and directly downstream.

Expert Solution & Answer
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Answer to Problem 1IP

The velocities of the swimmer with respect to the current when the boy swims directly upstream and directly downstream are 2 m/s in the upstream and 1 m/s in the downstream.

Explanation of Solution

Calculation:

The velocity of the swimmer with respect to the current when the boy swims directly upstream is,

vb/c=vb+vc

Here, vb/c is velocity of the swimmer with respect to the current when the boy swims directly upstream, vb is velocity of the boy, and vc is velocity of the current.

Substitute 1.5m/s for vb and 0.5 m/s for vc to find vb/c.

vb/c=1.5m/s+0.5m/s=2 m/s

Thus, the velocity of the swimmer with respect to the current when the boy swims directly upstream is 2 m/s.

The velocity of the swimmer with respect to the current when the boy swims directly downstream is,

vb/c=vbvc

Here, vb/c is velocity of the swimmer with respect to the current when the boy swims directly downstream, vb is velocity of the boy, and vc is velocity of the current.

Substitute 1.5m/s for vb and 0.5 m/s for vc to find vb/c.

vb/c=1.5m/s0.5m/s=1 m/s

Thus, the velocity of the swimmer with respect to the current when the boy swims directly downstream is 2 m/s.

Conclusion

Therefore, the velocities of the swimmer with respect to the current when the boy swims directly upstream and directly downstream are 2 m/s in the upstream and 1 m/s in the downstream.

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