Solution Found!
Suppose a pilot flies 40.0 km in a direction 60º north of
Chapter 3, Problem 24(choose chapter or problem)
Suppose a pilot flies \(40.0 km\) in a direction \(60^{\circ}\) north of east and then flies \(30.0 km\) in a direction \(15^{\circ}\) north of east as shown in Figure \(3.63\). Find her total distance \(R\) from the starting point and the direction \(\theta\) of the straight-line path to the final position. Discuss qualitatively how this flight would be altered by a wind from the north and how the effect of the wind would depend on both wind speed and the speed of the plane relative to the air mass.
Questions & Answers
QUESTION:
Suppose a pilot flies \(40.0 km\) in a direction \(60^{\circ}\) north of east and then flies \(30.0 km\) in a direction \(15^{\circ}\) north of east as shown in Figure \(3.63\). Find her total distance \(R\) from the starting point and the direction \(\theta\) of the straight-line path to the final position. Discuss qualitatively how this flight would be altered by a wind from the north and how the effect of the wind would depend on both wind speed and the speed of the plane relative to the air mass.
ANSWER:
Step 1 of 6 :
In this question, we need to find the direction and magnitude of the resultant vector
Condition given for resultant
\(R=A+B\)
We also need to quantitatively how wind from north can alter the flight, and the effect depends on speed of plane and relative air mass
Data given:
\(A=40 \mathrm{~km}\)
\(B=30 \mathrm{~km}\)
\(\theta_{A}=60^{\circ}\)
\(\theta_{B}=15^{0}\)
Considering given figure