Consider the scenario where a fighter jet Mig-21 flying at a height of 2800m from origin O(0,0). The air defense system S-400 is located at a distance of 400m from origin. The missile Brahmos is fired from Mig-21 towards the warship and it follows a straight line path. The missile makes an angle of 45 ° (measured in clockwise direction) with the ground (horizontal axis) if it hits the warship. The air defense system S-400 tracked the path of missile and fires a missile Triumpf towards it, missile Triumpf also follows a straight line path having slope 2. Let P be the point where Triumpf missile hits the Brahmos missile.
1)Find out the distance between point P and origin O in meters.
2)If the speed of Brahmos missile is 96\sqrt{10m/sec, then what should be the speed of Triumpf missile (in m/sec), so that it should hit the Brahmos missile at point P.