A race car driver steps on the gas, and his car travels 16 meters in 2 seconds, starting from rest. What is the average velocity in m/s and in km/h?
a. V = 16m/2s = 8 m/s.
b. V = 8m/s * 1km/1000m * 3600s/h = 28.8 km/h.
To find the average velocity of the race car, we can use the formula:
Average Velocity = (Final Position - Initial Position) / Time
In this case, the car starts from rest, so the initial position is 0 meters. The car travels a distance of 16 meters in 2 seconds, so the final position is 16 meters. Plugging these values into the formula:
Average Velocity = (16 meters - 0 meters) / 2 seconds
Simplifying the equation gives us:
Average Velocity = 16 meters / 2 seconds
Average Velocity = 8 meters/second
Therefore, the average velocity of the race car is 8 m/s.
To convert this velocity to km/h, we can use the conversion factor: 1 km = 1000 m, and 1 hour = 3600 seconds.
First, let's convert meters to kilometers:
8 meters/second = (8 meters/second) * (1 km/1000 meters)
8 meters/second = 0.008 km/second
Now, let's convert seconds to hours:
0.008 km/second = (0.008 km/second) * (3600 seconds/1 hour)
0.008 km/second = 28.8 km/hour
Therefore, the average velocity of the race car is 8 m/s or 28.8 km/h.