A car is traveling at a rate of 80 kilometers per hour. Set up the equation that would convert the speed to meters per second. Then evaluate
To convert the speed from kilometers per hour to meters per second, we need to apply a conversion factor.
The conversion factor for converting kilometers to meters is 1000 (since there are 1000 meters in a kilometer) and the conversion factor for converting hours to seconds is 3600 (since there are 3600 seconds in an hour).
To set up the equation, we can write:
Speed in meters per second = (Speed in kilometers per hour) × (Conversion factor: kilometers to meters) × (Conversion factor: hours to seconds)
Let's substitute the given values into the equation:
Speed in meters per second = (80 kilometers per hour) × (1000 meters per kilometer) × (1 hour per 3600 seconds)
Now, let's simplify the equation:
Speed in meters per second = (80 × 1000 × 1) / 3600
Speed in meters per second = 80,000 / 3600
Speed in meters per second ≈ 22.22 meters per second
Therefore, the car is traveling at a speed of approximately 22.22 meters per second.
80 km = 80,000 m
1 h = 3,600 s
80,000 / 3,600 = 4 * 20,000 / ( 4 * 900 ) =
20,000 / 900 = 200 * 100 / ( 9 * 100 ) =
200 / 9 = 22.222 m / s