A firework shell of mass m launched into the air and exploded when it reaches its highest point of flight. It has an initial launch speed vi and is launched at an angle q above the horizontal.When it explodes, it breaks into 2 pieces –one of which is 4 times heavier than the other one. Both pieces hit the ground at the same time, and the heavy piece hits the ground at the point of launch. a) What are the x-and y-components of the velocity of the heavier piece just after the explosion? Express your answers in terms of vi, q, and any necessary constants. Be sure to explain your answers completely. b) What are the x-and y-components of the velocity of the lighter piece just after the explosion? Express your answers in terms of vi, q, and any necessary constants. Be sure to explain your answers completely. c) If the lighter piece has a speed of vf just before hitting the ground, how high above the ground did the explosion occur? Express your answer in terms of vi, vf, q, and any necessary constants.

A firework shell of mass m launched into the air and exploded when it reaches its highest point of flight. It has an initial launch speed vi and is launched at an angle q above the horizontal.When it explodes, it breaks into 2 pieces –one of which is 4 times heavier than the other one. Both pieces hit the ground at the same time, and the heavy piece hits the ground at the point of launch. a) What are the x-and y-components of the velocity of the heavier piece just after the explosion? Express your answers in terms of vi, q, and any necessary constants. Be sure to explain your answers completely. b) What are the x-and y-components of the velocity of the lighter piece just after the explosion? Express your answers in terms of vi, q, and any necessary constants. Be sure to explain your answers completely. c) If the lighter piece has a speed of vf just before hitting the ground, how high above the ground did the explosion occur? Express your answer in terms of vi, vf, q, and any necessary constants.

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