Question

An airplane has a velocity relative to the ground of 203 m/s toward the east. The pilot measures his airspeed (the speed of the plane relative to the air) to be 111 m/s. What is the minimum wind velocity possible? Give you answer as a positive value.

Answer 1

92 m/s

Step-by-step explanation:

The speed of Airplane when observed from the ground is 203 m/s i.e., speed of Airplane when there is no wind =
`v_a`

The speed of the airplane relative to the air is 111 m/s =
`v_r`

This means that the airplane is moving against the current

Speed of the current with respect to the ground =
`v_c`

`v_a-v_c=v_r\\\Rightarrow 203-v_c=111\\\Rightarrow v_c=203-111\\\Rightarrow v_c=92\ m/s`

Velocity of current has to be atleast 92 m/s