a cyclist rides her bike at a speed of 27 kilometers per hour. What is this speed in meters per second? How many meters will the cyclist travel in 5 seconds?
there are 1000 m in a KILOmeter
there are 3600 sec in an hour ... 60 min , 60 sec per min
To convert the speed from kilometers per hour to meters per second, we need to use the following conversion factor:
1 kilometer = 1000 meters
1 hour = 3600 seconds
To convert kilometers per hour (km/h) to meters per second (m/s), the following steps can be followed:
Step 1: Convert kilometers to meters by multiplying the speed (27 km/h) by 1000.
27 km/h * 1000 m/km = 27,000 m/h
Step 2: Convert hours to seconds by multiplying the result from Step 1 (27,000 m/h) by 3600.
27,000 m/h * 3600 s/h = 97,200,000 m/s
Step 3: Divide the result from Step 2 (97,200,000 m/s) by 3600 to get the speed in meters per second.
97,200,000 m/s / 3600 s/h = 27 m/s
Therefore, the cyclist's speed is 27 meters per second.
To find out how many meters the cyclist will travel in 5 seconds, you can use the formula:
Distance = Speed * Time
Substituting the given values:
Distance = 27 m/s * 5 s
Calculating:
Distance = 135 meters
So, the cyclist will travel 135 meters in 5 seconds.