Question

Plane Ride 72311 You are traveling on an airplane. The velocity of the plane with respect to the air is 100 m/s due east. The velocity of the air with respect to the ground is 35 m/s at an angle of 30' west of due north. 1) What is the speed of the plane with respect to the ground? 86.72 m/s Submit Your submissions: 86.72 Computed value: 86.72 Feedback: Correct! Submitted: Thursday, September 19 at 6:59 PM 2) What is the heading of the plane with respect to the ground? (Let 0 represent due north, 90' represents due east). 9.926 East of due North Submit Your submissions: 9.926 Computed value: 9,926 Feedback: X Submitted: Thursday, September 19 at 7:00 PM 3) How far east will the plane travel in 1 hour? m Submit

Answer 1

Let the east be positive x axis and north be positive y axis.

Given:

0 = 300 vp = (100.) m/s va = (-35 sin 0.1 + 35 cos dy) m/s = (-17.5.2 + 30.3y) m/s t=1 hr = 3600 S

1)

Resultant velocity with respect to ground is,

ū= 0, +va = (82.52 + 30.34) m/s

Therefore speed is,

v = 182.52 + 30.32 = 87.9 m/s

2)

Direction of heading is,

A = cos-10;9 ) = 69.5

3)

Horizontal displacement is,

I= (.1)t = 2.97 x 10 m