Question #230989


 A plane flying due north at 2.00 x 10^2 mph encounters winds which blow the plane due south at 45 mph. Determine the plane's resultant velocity (magnitude and direction).


1
Expert's answer
2021-08-30T15:05:26-0400

Let's take north as a positive direction. Then, plane's resultant velocity is the vector sum of two velocities: the velocity of the plane and the velocity of the wind:


vres=vplane+vwind,\vec{v}_{res}=\vec{v}_{plane}+\vec{v}_{wind},vres=vplanevwind=200 mph45 mph=155 mph.v_{res}=v_{plane}-v_{wind}=200\ mph-45\ mph=155\ mph.

The sign plus means that the plane's resultant velocity directed to the north.

Answer:

vres=155 mph,v_{res}=155\ mph, to the north.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS