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
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Solution

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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 5.5m/s5.5 \, \text{m/s}.

Step 2: Use the Formula for Time

The formula to calculate time when distance and velocity are known is: t=dv t = \frac{d}{v} where tt is the time, dd is the distance, and vv is the velocity.

Step 3: Substitute the Given Values

Substitute the given values into the formula: t=158m5.5m/s t = \frac{158 \, \text{m}}{5.5 \, \text{m/s}}

Step 4: Calculate the Time

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

Step 5: Round to the Nearest Second

Round the calculated time to the nearest second: t29s t \approx 29 \, \text{s}

Final Answer

29s \boxed{29 \, \text{s}}

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