Question

In the 2009 World Athletics Championships
in Berlin, Germany, Usain Bolt broke his own
world record he previously set by running the
100-meter dash in only 9.58 seconds.
On average, how fast did he run in miles per
hour (mph)?
CONVERT TO DESMOS FORM

Answer 1

Answer:

23.35 miles per hour

Explanation:

First of all let's convert meters to miles and seconds to hours:

Convert meters to miles:

1 meter is approximately equal to 0.000621371 miles.

Convert seconds to hours:

1 hour is equal to 3600 seconds.

Given that Usain Bolt ran the 100-meter dash in 9.58 seconds, first, let's convert meters to miles:

$\textsf{Distance in miles} = \textsf{Distance in meters} \times 0.000621371$

$\textsf{Distance in miles} = 100 \times 0.000621371$

$\textsf{Distance in miles} \approx 0.0621371$

Nextsf, let's convert seconds to hours:

$\textsf{Time in hours} = \dfrac{\textsf{Time in seconds}}{3600}$

$\textsf{Time in hours} = \dfrac{9.58}{3600}$

$\textsf{Time in hours} \approx 0.0026611111111$

Now, we can find the average speed in miles per hour:

$\textsf{Average speed (mph)} = \dfrac{\textsf{Distance in miles}}{\textsf{Time in hours}}$

$\textsf{Average speed (mph)} = \dfrac{0.0621371}{0.0026611111111}$

$\textsf{Average speed (mph)} \approx 23.350058455114$

$\textsf{Average speed (mph)} \approx 23.35 \textsf{(in 2 d.p.)}$

So, Usain Bolt's average speed during the 100-meter dash was approximately 23.35 miles per hour.