Question

An airplane is flying south going 440 mph when it hits a crosswind going west at 35 mph. What is the resultant velocity?

Answer 1

To find the resultant velocity, we will use the Pythagorean theorem.

Let the velocity of the airplane going south be represented by A and the velocity of the crosswind going west be represented by B.

A = 440 mph
B = 35 mph

Using the Pythagorean theorem:
Resultant velocity = √(A^2 + B^2)
Resultant velocity = √(440^2 + 35^2)
Resultant velocity = √(193600 + 1225)
Resultant velocity = √194825
Resultant velocity = 441.49 mph

Therefore, the resultant velocity of the airplane with the crosswind is approximately 441.49 mph.