Chapter 4.2, Problem 33PPS

a.

To determine

To find: The difference between American and world records.

Answer to Problem 33PPS

The difference between American and world records is $\left[\begin{array}{c}0.5\\ 0.47\\ 0.87\\ 0\end{array}\right]$ .

Explanation of Solution

Given information:

The data is shown below.

Distance (m)	World	Olympic	American
50	24. 13 s	24. 13 s	24.63 s
100	53.52 s	53.52 s	53.99 s
200	1 :56.54 min	·1 :57.65 min	1 :57.41 min
800	8 :16.22 min	8 : 19.67 min	8 :16.22 min

Calculation:

The difference between American and world records is,

  $\left[\begin{array}{c}24.63\\ 53.99\\ 1:57.41\\ 8:16.22\end{array}\right]-\left[\begin{array}{c}24.13\\ 53.52\\ 1:56.54\\ 8:16.22\end{array}\right]=\left[\begin{array}{c}0.5\\ 0.47\\ 0.87\\ 0\end{array}\right]$

b.

To determine

To explain: The meaning of each row in the column.

Explanation of Solution

Given information:

The data is shown below.

Distance (m)	World	Olympic	American
50	24. 13 s	24. 13 s	24.63 s
100	53.52 s	53.52 s	53.99 s
200	1 :56.54 min	·1 :57.65 min	1 :57.41 min
800	8 :16.22 min	8 : 19.67 min	8 :16.22 min

Calculation:

In 50 meter the fastest American time is 0.5 second behind the world record. In the 100 meter the fastest American time is 0.47 second behind the world record. In the 200 meter the fastest American time is 0.87 second behind the world record. In the 800 meter the American and world record are same.

c.

To determine

To explain: The event in which the fastest times set at the Olympics.

Explanation of Solution

Given information:

The data is shown below.

Distance (m)	World	Olympic	American
50	24. 13 s	24. 13 s	24.63 s
100	53.52 s	53.52 s	53.99 s
200	1 :56.54 min	·1 :57.65 min	1 :57.41 min
800	8 :16.22 min	8 : 19.67 min	8 :16.22 min

Calculation:

In 50 and 100 meters events, the fastest time were set at the Olympics.