Question

question 24
1 point
sydney mclaughlin - levrone won the gold medal at the paris olympics for running a world record of 50.37 seconds for the 400.0 meter hurdles. what speed, in miles per hour, did sydney run in the race? given there are 1609 meters in 1.0 mile.

Explanation:

Step1: Convert meters to miles

We know that 1 mile = 1609 meters. So, for 400.0 meters, the distance $d$ in miles is $d=\frac{400.0}{1609}\text{ miles}$.

Step2: Convert seconds to hours

We know that 1 hour = 3600 seconds. So, 50.37 seconds $t$ in hours is $t = \frac{50.37}{3600}\text{ hours}$.

Step3: Calculate speed

Speed $v$ is given by the formula $v=\frac{d}{t}$. Substituting the values of $d$ and $t$ we found above:
\[

$$\begin{align*} v&=\frac{\frac{400.0}{1609}}{\frac{50.37}{3600}}\\ &=\frac{400.0\times3600}{1609\times50.37}\\ &=\frac{1440000}{81045.33}\\ &\approx17.77\text{ miles per hour} \end{align*}$$

\]

Answer:

17.77 miles per hour