A 7-kg projectile is fired with an initial speed of 137 m/s at an angle of 34° with the horizontal. At the top of its trajectory, the projectile explodes into two fragments of masses 2.6 kg and 4.4 kg. At 4.1 s after the explosion, the 4.4-kg fragment lands on the ground directly below the point of explosion.
(a) Determine the magnitude of the velocity of the 2.6-kg fragment immediately after the explosion.
(b) Find the distance between the point of firing and the point at which the 2.6-kg fragment strikes the ground.