The Correct Answer and Explanation is:
he correct answer is 13 seconds.
Here is a detailed explanation of how to arrive at this solution.
The problem asks us to calculate the time it took for a rocket to travel a specific distance at a given average speed. The fundamental relationship connecting speed, distance, and time is a core concept in physics. The formula is:
Speed = Distance / Time
To solve for the time taken, we need to rearrange this formula algebraically. By multiplying both sides by Time and then dividing both sides by Speed, we isolate Time on one side of the equation:
Time = Distance / Speed
Now, we can substitute the values provided in the problem into this rearranged formula.
The distance is given as 100 km.
The average speed is given as 28,440 km/h.
So, the calculation for time is:
Time = 100 km / 28,440 km/h
When we perform this division, the resulting unit for time will be in hours, because the speed is in kilometers per hour.
Time (in hours) = 100 / 28,440 ≈ 0.003516 hours.
However, the question specifically asks for the answer to be in seconds. To convert from hours to seconds, we use the conversion factor that there are 60 minutes in an hour and 60 seconds in a minute. Therefore, the total number of seconds in one hour is:
1 hour = 60 minutes/hour × 60 seconds/minute = 3600 seconds/hour.
To get our final answer in seconds, we multiply the time in hours by 3600:
Time (in seconds) = (100 / 28,440) × 3600
This can be calculated as:
Time (in seconds) = 360,000 / 28,440 ≈ 12.6582278… seconds.
The final instruction is to give the answer correct to the nearest second. To do this, we look at the first digit after the decimal point. In this case, the digit is 6. Since 6 is 5 or greater, we round the whole number up.
Therefore, 12.658… rounded to the nearest second is 13 seconds.
