An air-hockey puck has a model rocket rigidly attached to it. The puck is pushed from one corner along the long side of the 2.00-m long air-hockey table, with the rocket pointing along the short side of the table, and at the same time the rocket is fired. If the rocket thrust imparts an acceleration of 2.00 m/s2 to the puck, and the table is 1.00 m wide, with what minimum initial velocity should the puck be pushed to make it to the opposite short side of the table without bouncing off either long side of the table? Draw the trajectory of the puck for three initial velocities: ν < νmin, ν = νmin, and ν νmin. Neglect friction and air resistance.
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