Problem

Problem

A plank fitted with a gun is moving on a horizontal surface with speed of 4 m/s4 \text{ m/s} along the positive xx-axis. The zz-axis is in vertically upward direction. The mass of the plank including the mass of the gun is 50 kg50 \text{ kg}. When the plank reaches the origin, a shell of mass 10 kg10 \text{ kg} is fired at an angle of 60∘60^\circ with the positive xx-axis with a speed of v=20 m/sv = 20 \text{ m/s} with respect to the gun in xx-zz plane. Find the position vector of the shell at t=2 st = 2 \text{ s} after firing it. Take g=9.8 m/s2g = 9.8 \text{ m/s}^2 .

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