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1. An explosive is fired from the ground at an angle of 53.1° and a speed of 30.0 m/s. When the explosive reaches its maximum height, it breaks into two pieces of equal mass. One of the pieces is hurled straight backward and returns on the same path it previously took.
(i) What is the speed of the explosive at the maximum height?
(ii) What are the speeds of each piece of the explosive after it breaks apart?
(iii) How far from the launch point does the far piece of the explosive land?
(iv) At the time both pieces land, what is the position of the center-of-mass of the system from the launch point?
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