Question

In a recent Grand Prix, the winner completed the race with an average speed of 299.8 km/h. What was his speed in miles per hour, meters per second, and feet per second?

Answer 1

(a) The speed is, 186.287 mi/hr

(b) The speed is, 83.277 m/s

(c) The speed is, 273.22 feet/s

Explanation :

(a) We are given the speed is,
`299.8km/hr`

As we know that,

`1km=(1)/(1.60934)mi`

By using both the conversion, we get:

`299.8km/hr`

`\Rightarrow (299.8km)/(1hr)* (1mi)/(1.60934km)`

`\Rightarrow 186.287mi/hr`

The speed is, 186.287 mi/hr

(b) We are given the speed is,
`299.8km/hr`

As we know that,

`1km=1000m`

and,

`1hr=3600s`

By using both the conversion, we get:

`299.8km/hr`

`\Rightarrow (299.8km)/(1hr)* (1000m)/(1km)* (1hr)/(3600s)`

`\Rightarrow 83.277m/s`

The speed is, 83.277 m/s

(c) We are given the speed is,
`299.8km/hr`

As we know that,

`1km=3280.84feet`

and,

`1hr=3600s`

By using both the conversion, we get:

`299.8km/hr`

`\Rightarrow (299.8km)/(1hr)* (3280.84feet)/(1km)* (1hr)/(3600s)`

`\Rightarrow 273.22feet/s`

The speed is, 273.22 feet/s