A projectile of mass 10 kg is launched at an angle of 55° and an initial speed of 87 m/s...

A projectile of mass 10 kg is launched at an angle of 55° and an initial speed of 87 m/s. Just as the object reaches the maximum height in its trajectory, a small explosion along the horizontal blows off the projectile’s back portion equal to one-fourth its original mass. The smaller piece lands exactly at the launch point as shown in Figure P7.65. How far from the launch point does the larger portion land?