   Chapter 2, Problem 12P

Chapter
Section
Textbook Problem

An athlete swims the length L of a pool in a time t1 and makes the return trip to the starting position in a time t2. If she is swimming initially in the positive x-direction, determine her average velocities symbolically in (a) the first half of the swim, (b) the second half of the swim, and (c) the round trip, (d) What is her average speed for the round trip?

(a)

To determine
The average velocity in the first half of the swim.

Explanation

Given Info: The length of the pool is L and the time taken to complete the first half of the swim is t1 .

Explanation:

Formula to calculate the average velocity in the first half of the swim is,

v¯1=Δx1Δt1

Here,

v¯1 is the average velocity of the first half of the swim.

Δx1 is the displacement covered in the first half of the swim.

Δt1 is the time taken to complete the first half of the swim

(b)

To determine
The average velocity in the second half of the swim.

(c)

To determine
The average velocity for the round trip.

(d)

To determine
The average speed for the round trip.

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