A projectile of mass 2.0kg is fired in the air at an angle of 40.0 with respect to the ground at a speed of 50.0m/s as shown in the figure. At the highest point in its flight, the projectile breaks into two pieces of equal mass. One of the pieces, whose speed (with respect to the ground) immediately after the explosion is 0, falls vertically downwards. (a) Find the velocity of the other piece immediately after the projectile breaks up. (b) Find the distance between the initial launching point and the forward-moving piece after it has landed on the ground, assuming that the terrain is level and that air drag is negligible.
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