Let's hash out the details step-by-step to find the distance traveled by a point moving at a constant speed along a circle.
Step 1: Convert time into minutes.
Given:
- Time, [tex]\( t \)[/tex] = 6 days.
First, we calculate the number of minutes in a day:
- There are 24 hours in a day.
- There are 60 minutes in an hour.
Therefore, the number of minutes in one day is:
[tex]\[ \text{Minutes in one day} = 24 \times 60 = 1440 \text{ minutes} \][/tex]
Next, we calculate the total number of minutes in 6 days:
[tex]\[ t = 6 \times 1440 = 8640 \text{ minutes} \][/tex]
Step 2: Compute the distance using the constant speed and time.
Given:
- Speed, [tex]\( v = 300 \text{ km/min} \)[/tex]
- Time, [tex]\( t = 8640 \text{ minutes} \)[/tex]
The formula for distance when moving with constant speed is:
[tex]\[ s = v \times t \][/tex]
Substitute the given values into the formula:
[tex]\[ s = 300 \times 8640 \][/tex]
Step 3: Multiply the values to find the distance.
Performing the multiplication:
[tex]\[ s = 2592000 \text{ km} \][/tex]
Thus, the exact distance traveled [tex]\( s \)[/tex] is:
[tex]\[ s = 2592000 \text{ km} \][/tex]
So, the final answer is:
[tex]\[ s = 2592000 \text{ km} \][/tex]
You may input [tex]\( s \)[/tex] into the square as follows:
[tex]\[ s = 2592000 \text{ km} \][/tex]
