a cyclist rides her bike at the speed of 18 kilometers per hour what is this rate in meters per second how many meters will the cyclist travel in 2 seconds
18 km = 18,000 m
1 hour = 3600 seconds
18,000 / 3600 = 5 meters per second
To convert the speed from kilometers per hour to meters per second, we need to use the conversion factor 1 kilometer equals 1000 meters and 1 hour equals 3600 seconds.
Step 1: Convert kilometers per hour to meters per second:
Speed (m/s) = Speed (km/h) × (1000 m/1 km) / (3600 s/1 h)
Given that the speed is 18 kilometers per hour:
Speed (m/s) = 18 × (1000/3600) = 5 meters per second
Step 2: Calculate the distance traveled in 2 seconds:
Distance (m) = Speed (m/s) × Time (s)
Given that the time is 2 seconds:
Distance (m) = 5 × 2 = 10 meters
Therefore, the cyclist will travel 10 meters in 2 seconds.
To convert the speed of a cyclist from kilometers per hour to meters per second, you need to use the fact that there are 1000 meters in a kilometer and 3600 seconds in an hour. Here's how you can do it:
1. Convert kilometers to meters: Multiply the speed in kilometers per hour by 1000 to get the speed in meters per hour. In this case, multiplying 18 by 1000 gives you 18,000 meters per hour.
2. Convert hours to seconds: Divide the speed in meters per hour by 3600 to convert it to meters per second. In this case, dividing 18,000 by 3600 gives you 5 meters per second.
Now, to find out how many meters the cyclist will travel in 2 seconds, you can simply multiply the speed in meters per second by the time in seconds:
2 seconds * 5 meters per second = 10 meters
So, the cyclist will travel 10 meters in 2 seconds.