A firework rocket is launched vertically. At the moment of explosion it is moving with a...

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A firework rocket is launched vertically. At the moment of explosion it is moving with a vertical speed of vo = 2 ms- upwards. The explosion releases an energy of Eexp = 1 J and the rocket bursts into four pieces with masses of m₁ = 1g, m2 = 2g, m3 = 3g and m4 = 4g. The piece with mass m4 moves vertically upwards with a speed of v4 = 1 ms¹. The pieces of mass m3 and m2 move horizontally and the piece of mass m₁ moves vertically. All velocities and directions in this question are given relative to the ground and your answer should do the same. (a) Obtain the speeds of all the pieces after the explosion. (b) Higher speed pieces can be obtained if the directions of movement of the pieces are different from those in part (a). Under which choice of directions would the maximum speed of one of the pieces be achieved? [5] [3] A firework rocket is launched vertically. At the moment of explosion it is moving with a vertical speed of vo = 2 ms- upwards. The explosion releases an energy of Eexp = 1 J and the rocket bursts into four pieces with masses of m₁ = 1g, m2 = 2g, m3 = 3g and m4 = 4g. The piece with mass m4 moves vertically upwards with a speed of v4 = 1 ms¹. The pieces of mass m3 and m2 move horizontally and the piece of mass m₁ moves vertically. All velocities and directions in this question are given relative to the ground and your answer should do the same. (a) Obtain the speeds of all the pieces after the explosion. (b) Higher speed pieces can be obtained if the directions of movement of the pieces are different from those in part (a). Under which choice of directions would the maximum speed of one of the pieces be achieved? [5] [3]