A projectile of mass 2.0 kg is fired into the air at an angle of 38.0° to the horizon at a speed of 42.0 m/s. At the highest point in its flight, the projectile breaks into three parts of mass 1.0 kg, 0.7 kg, and 0.3 kg. The 1.0 kg part falls straight down after breakup with an initial speed of 12.6 m/s, the 0.7 kg part moves in the original forward direction, and the 0.3 kg part goes straight up.
(a) Find the speeds (in m/s) of the 0.7 kg and 0.3 kg pieces immediately after the breakup.
v2 = ___ m/s
v3 = ___ m/s
(b) How high (in m) from the breakup point does the 0.3 kg piece go before coming to rest?
___ m
(c) Where does the 0.7 kg piece land relative to where it was fired from? (Give the horizontal distance in meters from the launch point to where the 0.7 kg piece lands.)
___ m