Question

An aeroplane flies with a velocity of 450 m/s to the north, while an aeroplane B travels at a velocity of 500 m/s to the south beside aeroplane A. Calculate the relative velocity of the aeroplane A with respect to aeroplane B.

Answer 1

Explanation:

V^ab = V^a - V^b

=450 -(-500)

=450 + 500

= 950

Answer 2

The relative velocity of the aeroplane A with respect to aeroplane B is 950m/s.

Given,

Velocity of aeroplane A flying north, vA=450m/s

Velocity of aeroplane B flying south, vB=500m/s.

To find,

the relative velocity of the aeroplane A with respect to aeroplane B.

Solution:

Velocity of aeroplane A flying north, vA in vector form=450m/s

Velocity of aeroplane B flying south, vB in vector form=-500m/s.

vAB=vA-vB

vAB=450-(-500)

vAB=450+500

vAB=950m/s.

The relative speed is 950m/s.

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