A
firecracker is placed inside a pumpkin. The pumpkin is slid along a
frictionless horizontal surface at 5.82m/s. While the pumpkin is
sliding it explodes into two pieces, one piece is twice as massive
as the other. After the explosion, the larger piece is moving with
three times the speed of the smaller piece. How fast is the larger
plece moving? Give your answer in meters per second.