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Q1. 1) A ball of mass m is released from rest at the top of a roof. The ball slides along the roof without friction. The roof makes an angle a with respect to the vertical. (a) By writing the Newton's second law along the roof, write the equation of motion describing the motion of the ball. (b) Solve the equation of motion. (c) Write the expression of the final time t, when the ball reaches the edge of the roof of length L, and thus express the velocity at ty (without ty in the expression). [12 marks] 2) The ball is ejected from the roof towards the ground. (a) Using the Newton's second law, write the equations of motion satisfied by the ball. We neglect the air resistance. (b) Solve the equations of motion with the appropriate initial conditions. [8 marks] [Total: 20 marks]