Let the speed of the eagle is v with respect to ground. Diagram of velocities, according to the question, where, v1 is speed of mouse with respect to the eagle and v2 is speed of mouse with respect to the ground. Thus, we have v2=√v2+v12+2vv1cos90° ∴ v2=√v2+v12 v22=v2+v12 ∴ v=√v22−v12