Question

Two planes, A and B, are flying at the same altitude. If their velocities are vA = 500 km>h and vB = 700 km>h such that the angle between their straightline courses is u = 60, determine the velocity of plane B with respect to plane A.

Answer 1

Answer:

Velocity of plane B with respect to plane A is 356.21 km

Explanation:

Velocity of plane A $v_{A}=500 km/hr$

Velocity of plane B $v_{B}=700 km/hr$

Angle between the their straightline is $\theta =60 ^0$

velocity of plane B with respect to plane A is given by

$V_{BA}= V_{B}sin \theta - V_{A}cos\theta\\V_{BA}= 700 \times sin 60 - 500\times cos60\\V_{BA}=606.21-250\\V_{BA}=356.21 km$

Velocity of plane B with respect to plane A is 356.21 km