Q84E - Chemistry (OpenStax)

Question

Question: In a recent Grand Prix, the winner completed the race with an average speed of 229.8 km/h. What was his speed in miles per hour, meters per second, and feet per second?

Step-by-Step Solution

Answer

It is given that 

Speed = 229.8 km/h = 142.7 miles/hr = 63.83 m/s = 209.4 feet/second

Step 1: Convert km/h to miles/hour

Miles per hour is a unit of speed representing the number of miles travelled in one hour. And the meter per second is an SI-derived unit of both speed and velocity.

• To find speed in miles per hour

          Now, we have to convert to miles/hour

1 km = 0.621 miles

      Now, we need to only convert the distance.               

     

229.8 km/h × 0.621 miles/km

= 142.7 miles/hr

Step 2: Convert km/h to m/s

• To find speed in meters/second

            Now, we have to convert km/hr into m/s

1 km = 1000m

1 hour = 60 × 60 = 3600 seconds

Within 3600 seconds, the distance is 229.8 km × 1000 m/km = 229800 m

Then, distance travelled in 1 second = 229800m/3600s

= 63.83 m/s

Step 3: Convert km/h to feet/second

• To find speed in feet per second

Now, we have to convert speed in feet per second

1 km = 3280.8 feet

1 hour = 3600 seconds

Distance travelled in feet = 229.8 km × 3280.8 feet/km = 753927.8 feet

Then distance travelled in 1 second = 753927.8 feet/3600 s

= 209.4 feet/second