An instrument-carrying projectile of mass 2.0kg was fired in the air at an angle of 40.0 o with respect to the ground at a speed of 50.0m/s (as shown in the figure). At the highest point of its flight, the projectile broke into two pieces of equal mass. One piece immediately after the break-up had velocity (with respect to the ground) ~v = (−20m/s)ˆi towards the left. It finally landed at a distance of 60.07m ahead of the launching point. (a) Find the velocity ~v1 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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