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?

Respuesta :

Answer :

(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, [tex]299.8km/hr[/tex]

As we know that,

[tex]1km=\frac{1}{1.60934}mi[/tex]

By using both the conversion, we get:

[tex]299.8km/hr[/tex]

[tex]\Rightarrow \frac{299.8km}{1hr}\times \frac{1mi}{1.60934km}[/tex]

[tex]\Rightarrow 186.287mi/hr[/tex]

The speed is, 186.287 mi/hr

(b) We are given the speed is, [tex]299.8km/hr[/tex]

As we know that,

[tex]1km=1000m[/tex]

and,

[tex]1hr=3600s[/tex]

By using both the conversion, we get:

[tex]299.8km/hr[/tex]

[tex]\Rightarrow \frac{299.8km}{1hr}\times \frac{1000m}{1km}\times \frac{1hr}{3600s}[/tex]

[tex]\Rightarrow 83.277m/s[/tex]

The speed is, 83.277 m/s

(c) We are given the speed is, [tex]299.8km/hr[/tex]

As we know that,

[tex]1km=3280.84feet[/tex]

and,

[tex]1hr=3600s[/tex]

By using both the conversion, we get:

[tex]299.8km/hr[/tex]

[tex]\Rightarrow \frac{299.8km}{1hr}\times \frac{3280.84feet}{1km}\times \frac{1hr}{3600s}[/tex]

[tex]\Rightarrow 273.22feet/s[/tex]

The speed is, 273.22 feet/s