Question

After one hour in flight, an airplane is located 100 miles north and 200 miles west of the airport. what is the magnitude of the plane's velocity? round your answer to the nearest mile per hour. 100 miles per hour 200 miles per hour 210 miles per hour 224 miles per hour

Answer 1

Hello,

in 100 mi, distance=√(1²+2²)=√5.
In mi: 100*√5=223.60679... mi≈224 mi

Answer D: 224 mi/h

Answer 2

Option D is the correct answer.

Explanation:

North and west are mutually perpendicular.

Resultant of two mutually perpendicular vectors a and b
`=√(a^2+b^2)`

Here a = 100 miles north and b = 200 miles west

Resultant displacement
`=√(100^2+200^2)=223.61 miles`

`\texttt{Velocity = }\frac{\texttt{Displacement}}{\texttt{Time}}=(223.61)/(1)=223.61mph`

Velocity = 224 mph

Option D is the correct answer.