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A firecracker of negligible mass is inside a coconut. When the firecracker is lit and explodes, it blows the 3.5 kg coconut into three pieces. One 0.95 kg piece flies off along the +x direction with a velocity of 12 m/s. Another 0.76 kg piece flies off in the +y direction at 18 m/s. Assume mass is conserved. What are the speed and direction of the third piece?

Fig: 1