Questions: A marathon runner runs with an average velocity of 5.5 m / s. How long in seconds does it take for the runner to travel 158 m ? (Round to the nearest second.)

A marathon runner runs with an average velocity of 5.5 m / s. How long in seconds does it take for the runner to travel 158 m ? (Round to the nearest second.)

Transcript text: A marathon runner runs with an average velocity of $5.5 \mathrm{~m} / \mathrm{s}$. How long in seconds does it take for the runner to travel 158 m ? (Round to the nearest second.) 29 s 3 s 896 s 8.86 s 290 s

Solution

Solution Steps

Step 1: Understand the Problem

We need to find the time it takes for a marathon runner to travel a distance of 158 meters with an average velocity of $5.5 \, \text{m/s}$.

Step 2: Use the Formula for Time

The formula to calculate time when distance and velocity are known is: \[ t = \frac{d}{v} \] where $t$ is the time, $d$ is the distance, and $v$ is the velocity.

Step 3: Substitute the Given Values

Substitute the given values into the formula: \[ t = \frac{158 \, \text{m}}{5.5 \, \text{m/s}} \]

Step 4: Calculate the Time

Perform the division to find the time: \[ t = 28.7273 \, \text{s} \]

Step 5: Round to the Nearest Second

Round the calculated time to the nearest second: \[ t \approx 29 \, \text{s} \]