Chapter 0.3, Problem 26E

a.

To determine

Find the total time of the world record.

Answer to Problem 26E

The world record is 207.41 sec.

Explanation of Solution

Swimmer	Leg	Time(s)
Aaron Perisol	Backstroke	52.19
Eric Shanteau	Breaststroke	58.57
Michael phelps	Butterfly	49.72
David Walters	Freestyle	46.80
	Total=	207.41

From the table it is clear that the world record is 207.41 sec.

b.

To determine

Compare the speed of David Walters and Aaron Perisol.

Answer to Problem 26E

David Walters is $0.87$ meter per sec faster than Aaron Perisol.

Explanation of Solution

Given information: Length of swim $=\text{400}\text{m}$

Swimmer	Leg	Time(s)
Aaron Perisol	Backstroke	52.19
Eric Shanteau	Breaststroke	58.57
Michael phelps	Butterfly	49.72
David Walters	Freestyle	46.80
	Total=	207.41

Time take by David Walters to complete 400 m distance $=46.80\text{sec}$

Time take by Aaron Perisol to complete 400 m distance $=52.19\text{sec}$

Speed: As we know that the speed is the ratio distance to time.

Formula used: $Speed=\frac{Distance}{Time}$

Calculation:

Speed of David Walters $=\frac{Distance}{Time}\text{ =}\frac{400}{46.80}=8.54\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$\sec $}\right.$

Speed of Aaron Perisol $=\frac{Distance}{Time}\text{ =}\frac{400}{52.19}=7.67\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$\sec $}\right.$

David Walters is $\left(8.54-7.67=0.87\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$\sec $}\right.\right)$ faster than Aaron Perisol

c.

To determine

Compare the speed of world record.

Answer to Problem 26E

0.30 meter per sec faster is the world record time than the gold medal winning time the 1960 Olympics.

Explanation of Solution

Given information:Length of swim $=\text{400}\text{m}$

Swimmer	Leg	Time(s)
Aaron Perisol	Backstroke	52.19
Eric Shanteau	Breaststroke	58.57
Michael phelps	Butterfly	49.72
David Walters	Freestyle	46.80
	Total =	207.41

The total time in present year = 207.41 sec

At gold medaltime in 1960 = 245.4 sec

Speed: As we know that the speed is the ratio distance to time.

Formula used: $Speed=\frac{Distance}{Time}$

Calculation:

Speed in present year $=\frac{Distance}{Time}\text{ =}\frac{400}{207.41}=1.93\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$\sec $}\right.$

Speed in 1960 $=\frac{Distance}{Time}\text{ =}\frac{400}{245.4}=1.63\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$\sec $}\right.$

  $\left(1.93-1.63=0.30\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$\sec $}\right.\right)$ Faster is the world record time than the gold medal winning time the 1960 Olympics.