# Speed of a plane with respect to another plane

Not what you're looking for? Search our solutions OR ask your own Custom question.

Two planes A and B are flying side by side at a constant speed of 900km/h. Maintaining this speed, plane A begins to travel along the spiral path r = (1500*theta) km, where theta is in radians, whereas plane B continues to fly in a straight line. Determine the speed of plane A with respect to plane B when r=750km.

Â© BrainMass Inc. brainmass.com March 6, 2023, 1:28 pm ad1c9bdddfhttps://brainmass.com/physics/velocity/speed-of-a-plane-with-respect-to-another-plane-28055

#### Solution Preview

Initially the two planes are travelling in the same direction with constant speed 900km/hr. That is Va = Vb = 900km/hr

Now, plane A begins to move in a spiral path defined by,

r = 1500*theta km

at r = 750Km, theta = 750/1500 = ...

#### Solution Summary

This solution is provided in 185 words and details how speed can be determined using an equation for spiral path. A .gif file is attached with a diagram to help understanding of the problem dynamics.

$2.49