Eb5 Calculate the average speed in km/h

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SUMMARY

The average speed of a person jogging eight laps around a 400 m track in 14.5 minutes is calculated to be approximately 13.2 km/h. This calculation involves converting the total distance of 3200 m into kilometers and the total time from minutes to hours. The distinction between average speed and average velocity is highlighted, with the average velocity being zero due to the circular nature of the track, indicating no net displacement. Understanding these concepts is crucial for differentiating between speed and velocity in physics.

PREREQUISITES
  • Basic understanding of speed and velocity concepts
  • Familiarity with unit conversions (meters to kilometers, minutes to hours)
  • Knowledge of average speed calculation methods
  • Understanding of circular motion and displacement
NEXT STEPS
  • Study unit conversion techniques for speed calculations
  • Learn about average velocity in circular motion scenarios
  • Explore the differences between scalar and vector quantities
  • Investigate real-world applications of speed and velocity in sports
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Students studying physics, educators teaching motion concepts, and anyone interested in understanding the differences between speed and velocity in practical scenarios.

karush
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$\text{A person jogs eight complete laps around a $400 \, m$ track in a total time of $14.5 \, min$}. \\$
$\textit{a. Calculate the average speed in $km/h$}\\$
\begin{align*}\displaystyle \frac{(8)400 \, m}{14.5 \, min} \left(\frac{km}{1000m} \right) \left(\frac{60 \, min}{h} \right)&=\frac{192 \ km}{14.5 \, h}\\ &\approx\color{red}{13.2 \, km/h}\end{align*}

left out some steps but hope answer is correct
next question is average velocity
 
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karush said:
$\text{A person jogs eight complete laps around a $400 \, m$ track in a total time of $14.5 \, min$}. \\$
$\textit{a. Calculate the average speed in $km/h$}\\$
\begin{align*}\displaystyle \frac{(8)400 \, m}{14.5 \, min} \left(\frac{km}{1000m} \right) \left(\frac{60 \, min}{h} \right)&=\frac{192 \ km}{14.5 \, h}\\ &\approx\color{red}{13.2 \, km/h}\end{align*}

left out some steps but hope answer is correct
next question is average velocity
Yes, that is correct. The average velocity is 0! Do you see why? What is the distinction between "speed" and "velocity"?
 
well i thot $\textsf{average velocity, straight-line motion was}$\begin{align*}\displaystyle v_{av}&=\frac{x_2-x_1}{t_2-t_1}=\frac{\Delta x}{\Delta t}\end{align*}so we plug in what?
 

But this is NOT "straight line motion"! Again, what is the difference between "speed" and "velocity"?
 
HallsofIvy said:

But this is NOT "straight line motion"! Again, what is the difference between "speed" and "velocity"?

but isn't the ball being thrown strsight up and then fall straight down
 
karush said:
but isn't the ball being thrown strsight up and then fall straight down
Uh, no this is about a person running about an oval track! You seem to have two threads confused.
 
Ok
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