Question

A plane, initially traveling 150 mi./hr. 100 east of north, suddenly enters a region where the wind is blowing at 50 mi./hr. from the southwest.

What is the plane’s resultant direction?

Answer 1

the Velocity of the plane is 100 mi/hr along the northeast direction

Explanation:

According to the Question,

• Given That, the Initial velocity of the plane is 150 mi/hr along the east north direction and the wind is blowing at 50 mi/hr along the southwest direction

since the velocity of wind and plane is exactly opposite

• the relative velocity of the plane with respect to the wind is given by

`V_(r) = V_(p) -V_(w)` , where
`V_(p)` is the velocity of plane = 150mi/hr and
`V_(w)` = velocity of wind = 50 mi/hr

• Therefore, Relative Velocity = 150-50 ⇒ 100mi/hr along northeast direction

Thus, the velocity of the plane is 100 mi/hr along the northeast direction