As viewed from above, a fireworks box with mass m = 6.0 kg slides with speed v = 3.0 m/s across a frictionless floor in the positive x direction. It suddenly explodes into two pieces. One piece, with mass Ma = 2.0 kg, moves off at an angle of theta(a) = 30 degrees above the positive x axis with speed Va= 7.0 m/s.
a. What is the speed of the second piece, with mass Mb?
b. What is the direction of the second piece; i.e. what is the angle theta(b)?
c. What magnitude impluse did the explosion exert on the second piece?