A small aircraft for one person is used on a short horizontal flight. On itsjourneyfrom A to B, lhe resultant velocity of the aireraft is 15 m s in adirection 60° east of north and the wind velocity is 7.5 ms due north.N 460AFigure 1.20Show that for the aircraft to travel from A to B it should be pointedadue east.b After flying 5 km from A to B. the aircraft returns along the samepath from B to A with a resultant velocity of 13.5ms-. Assumingthat the time spent at B is negligible, calculate the average speed forthe complete journey from A to B and back to A.B.

Answered: Image /qna-images/answer/f544defd-881b-49d9-8830-8e5088a9052a.jpg

A small aircraft for one person is used on a short horizontal flight. On its journey from A to B. the resultant velocity of the aireraft is 15 ms in a direction 60° east of north and the wind velocity is 7.5m s- due north.

A small aircraft for one person is used on a short horizontal flight. On its journey from A to B. the resultant velocity of the aireraft is 15 ms in a direction 60° east of north and the wind velocity is 7.5m s- due north.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 76P: A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h,...

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Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

A small aircraft for one person is used on a short horizontal flight. On its
journey
from A to B, lhe resultant velocity of the aireraft is 15 m s in a
direction 60° east of north and the wind velocity is 7.5 ms due north.
N 4
60
A
Figure 1.20
Show that for the aircraft to travel from A to B it should be pointed
a
due east.
b After flying 5 km from A to B. the aircraft returns along the same
path from B to A with a resultant velocity of 13.5ms-. Assuming
that the time spent at B is negligible, calculate the average speed for
the complete journey from A to B and back to A.
B.

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