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A firework of mass 0.25 kg is launched at an angle of 75o above the horizontal,...

A firework of mass 0.25 kg is launched at an angle of 75o above the horizontal, pointing due west. The initial speed of the firework is 69 m/s. At the top of its trajectory, it explodes into two pieces of equal mass. One of the pieces takes 2.1 s to fall to the ground, and lands on the ground a distance of 53 m due west from the launch position. Neglect air resistance.

(a) Find the velocity of both pieces just after the explosion.

(b) Where does the other piece land?

(c) Sketch a picture of the resulting motion and convince yourself that it is plausible.

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