In a proof-of-concept experiment for an antiballistic missile defense system, a missile is (i red from the ground of a shooting range toward a stationary target on the ground. The system detects the missile by radar, analyzes in real time its parabolic motion, and determines that it was fired from a distance x0 = 5.00 km, with an initial speed of 0.600 km/s in the xz-plane such that the X-component of the initial velocity is in the negative x-direction, and with a launch angle 60 = 20.0°. The defense system then calculates the required time delay measured from the launch of the missile and fires a small rocket situated at y0 = -l.00 km with an initial velocity of vr m/s at a launch angle α0 = 60.0° in the yz-plane, to intercept the missile. Determine the initial speed vr of the intercept rocket and the required time delay.