Two aircraft P and Q are flying at the same speed, 300 m/s. The direction along which P is flying is at right angles to the
direction along which Q is flying. Find the magnitude of the
velocity of the aircraft P relative to aircraft Q

The magnitude of the velocity of the aircraft P relative to aircraft Q is zero

Explanation:

The velocity of the two aircraft, P & Q, v = 300 m/s

The angle of the direction between them, Ф = 90°

The magnitude of the velocity of aircraft P relative to aircraft Q is given by the formula

                                  V = v cos Ф

Substituting the values in the above equation

                                   v = 300 x cos 90°

                                      = 300 x 0

                                      = 0

Since the aircraft are at right angles, the velocity of one aircraft relative to the other is zero.