An eagle flies at constant velocity horizontally across the sky, carrying a mouse and releases the mouse while in flight. From the eagle’ perspective, the mouse falls vertically with speed v1 . From an observer on the ground’ perspective, the mouse falls at an angle with speed v2 . What is the speed of the eagle with respect to the observer on the ground ?
(A) v1+v2
(B) v1-v2
(C) √(v21-v22)
(D) √(v22-v12)
Correct option (D) √(v22-v12)
Explanation:
We are given that the velocity of the mouse with respect to the eagle v1 and the velocity of the turtle with respect to the ground is v2.
Using Pythagoras theorem, we have
