If a person runs the 100m dash in 10.0s, calculate that speed in m/s and km/h.
To calculate the speed in m/s, you need to divide the distance covered (100m) by the time taken (10.0s). Similarly, to calculate the speed in km/h, the distance needs to be converted from meters to kilometers first.
Here's how you can do these calculations step by step:
First, let's calculate the speed in m/s:
Speed (m/s) = Distance (m) / Time (s)
Speed (m/s) = 100m / 10.0s
Speed (m/s) = 10.0 m/s
Now, let's calculate the speed in km/h:
To convert from meters to kilometers, divide the distance (100m) by 1000 (since there are 1000 meters in a kilometer).
Distance (km) = Distance (m) / 1000
Distance (km) = 100m / 1000
Distance (km) = 0.1 km
Now, to calculate the speed in km/h, divide the distance in kilometers (0.1 km) by the time in hours. But first, we need to convert the time from seconds to hours by dividing by 3600 (since there are 3600 seconds in an hour).
Time (h) = Time (s) / 3600
Time (h) = 10.0s / 3600
Time (h) = 0.002777 h
Speed (km/h) = Distance (km) / Time (h)
Speed (km/h) = 0.1 km / 0.002777 h
Speed (km/h) ≈ 36 km/h
Therefore, the speed of a person running the 100m dash in 10.0s is approximately 10.0 m/s and 36.0 km/h.