Question

question 9 (4 points) (01.07 mc) every time the world gathers for the olympic games, new records in track and field events are recorded. in 2021, sydney mclaughlin established a new olympic record when she ran the 400-meter hurdles in 51.46 seconds. what was her average speed (in m/s) for the race? remember to include your data, equation, and work when solving this problem.

Explanation:

Step1: Recall the formula for average speed

The formula for average speed \( v \) is given by the distance \( d \) traveled divided by the time \( t \) taken, i.e., \( v=\frac{d}{t} \).

Step2: Identify the given values

The distance \( d = 400\) meters and the time \( t=51.46\) seconds.

Step3: Substitute the values into the formula

Substitute \( d = 400\) m and \( t = 51.46\) s into the formula \( v=\frac{d}{t} \). So, \( v=\frac{400}{51.46} \).

Step4: Calculate the value

\( v=\frac{400}{51.46}\approx7.77 \) m/s.

Answer:

Her average speed for the race is approximately \(\boldsymbol{7.77}\) m/s.