Question

Can someone help me with B and C? If it is not clear B) is asking to calculate the plane's velocity relative to the ground? C) Calculate how far from its intended position will be after 15.0 min if the pilot takes no corrective action?

(3A Homework 3 Problem 3.64 18 of 23 Conatants Periodic Table An airplane is heading due south at a speed of 570 Part B km/h If a wind begins blowing from the southwost at a speed of 95.0 km/h (average) Calculate direction of the plane's velocity, rolative to the ground east of south Submit Request Anewer Part C Calculate how tar trom its inended osition t wi be ater 15.0 min it the piiot takes no corrective action. [Hint: First draw a diagram.] Submit Next> Provide Feedback 8 8 9 3 4 5 6

Answer 1

X-Component of resultant plane's velocity

V_x=95Cos45=67.175 km/h

Y-Component of resultant plane's velocity

V_y=-570+95SIn45=-502.825 km/h

Magnitude

V=sqrt[67.175²+(-502.825)²]=507.3 km/h

b)

Direction

o=tan^-1(67.175/-502.825)=7.61^o east of south

c)

t=15 min =15/60 =0.25 hour

Distance from intended position is

$\Delta x=(95)(0.25)=23.75 km$