Vectors Question

An aeroplane is flying due north at a speed of 80 ms-‐1. It is flying through air that moves north*‐east at 30 ms-1. What is the resultant velocity of the aeroplane? You should express your answer as the speed and bearing of which the aeroplane is moving (Note: a bearing, by definition, is measured clockwise from due north).

Not sure how to approach the question :confused:

. Any help would be GREATLY appreciated.

Reply 1

Joinedup

20

You're being asked to add vectors which is just simply joining the tail end of the second vector onto the head of the first vector and working out the vector which takes you from the tail of the first vector to the head of the second.

Reply 2

lerjj

13

Original post by Adam Docker

An aeroplane is flying due north at a speed of 80 ms-‐1. It is flying through air that moves north*‐east at 30 ms-1. What is the resultant velocity of the aeroplane? You should express your answer as the speed and bearing of which the aeroplane is moving (Note: a bearing, by definition, is measured clockwise from due north).

Not sure how to approach the question :confused:

. Any help would be GREATLY appreciated.

You are being asked to find the relative velocity of the plane wrt to the ground.

Relative velocities follow the vector equation:

[br]V_{ac}=V_{ab}+V_{bc}[br]

where

V_{ab}

means the relative velocity of an object a with respect to object b.

Vectors Question

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