Sure, let's solve this problem step-by-step.
1. Understand the problem:
We need to find out how far the truck travels in 5 seconds if it's moving at a speed of 40 kilometers per hour (km/h).
2. Convert speed from kilometers per hour to meters per second:
- We know that 1 kilometer is 1000 meters.
- We also know that 1 hour is 3600 seconds.
- Therefore, to convert speed from km/h to m/s, we multiply by [tex]\( \frac{1000}{3600} \)[/tex].
3. Perform the conversion:
Start with the speed of the truck:
[tex]\[ 40 \, \text{km/h} \][/tex]
Convert it to meters per second:
[tex]\[
40 \, \text{km/h} \times \frac{1000}{3600} = 11.11111111111111 \, \text{m/s}
\][/tex]
4. Calculate the distance:
Now that we have the speed in meters per second, we can calculate the distance traveled in 5 seconds:
- Using the formula distance = speed × time:
[tex]\[
\text{distance} = 11.11111111111111 \, \text{m/s} \times 5 \, \text{s} = 55.55555555555556 \, \text{meters}
\][/tex]
5. Conclusion:
The truck travels approximately 55.56 meters in 5 seconds when moving at a speed of 40 kilometers per hour.
So, the truck moves a total distance of 55.56 meters before it stops after 5 seconds.
