A firework of mass 0.25 kg is launched at an angle of 75 degreesabove the horizontal, pointing due west. The initial speed of thefirework is 69 m/s. At the top of its trajectory, it explodes intotwo pieces of equal mass. One of the pieces takes 2.1 s to fall tothe ground, and lands on the ground a distance of 53 m due westfrom the launch position. Neglect air resistance. (a) Find thevelocity of both pieces just after the explosion. (b) Where doesthe other piece land? (c) Sketch a picture of the resulting motionand convince yourself that it is plausible.
