Problem

\begin{tabular}{|c|c|}
\hline Time (x axis) (seconds) & Position (y axis) (meters) \\
\hline 0 & 0 \\
\hline 5 & 20 \\
\hline 10 & 40 \\
\hline 15 & 50 \\
\hline 20 & 55 \\
\hline 30 & 60 \\
\hline 35 & 70 \\
\hline 40 & 70 \\
\hline 45 & 70 \\
\hline 50 & 55 \\
\hline
\end{tabular}
Insert your graph here for Distance vs Time of a Moving Object.
Questions for Activity 1
Question 1:
What is the average speed of the train during the time interval from 0 s to $10 \mathrm{~s}$ ?
Question 2:
Using the equation: $v=\frac{s 2-s 1}{t 2-t 1}$, calculate the average speed of the train as it moves from position $\mathrm{x}=50 \mathrm{~m}$ to $\mathrm{x}=60 \mathrm{~m}$.
Question 3:
What does the slope of the line during each time interval represent?

Answer

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Answer

Final Answer: The average speed of the train during the time interval from 0s to 10s is \(\boxed{4.0}\) meters per second.

Steps

Step 1 :The problem is asking for the average speed of the train during the time interval from 0s to 10s.

Step 2 :To calculate this, we need to use the formula for average speed, which is total distance travelled divided by total time taken.

Step 3 :From the table, we can see that the distance travelled from 0s to 10s is 40 meters.

Step 4 :The time taken is 10 seconds.

Step 5 :So, we can calculate the average speed by dividing 40 meters by 10 seconds.

Step 6 :\(\text{distance_travelled} = 40\)

Step 7 :\(\text{time_taken} = 10\)

Step 8 :\(\text{average_speed} = \frac{\text{distance_travelled}}{\text{time_taken}} = \frac{40}{10} = 4.0\)

Step 9 :Final Answer: The average speed of the train during the time interval from 0s to 10s is \(\boxed{4.0}\) meters per second.

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