At time t = 0, a ball is dropped (starting from rest) from a height of 3 m. The ball falls freely (i.e. without air resistance) toward a concave spherical mirror that has been laid horizontally on the ground directly below the ball. The mirror has a radius of curvature of magnitude 1 m. a) Calculate the position of the ball's image at t = 0. b) Calculate the position of the ball’s image at an arbitrary time t. In other words, calculate the image position as a function of time. c) Calculate the position of the ball's image at t = 0.5 s. d) As the ball falls downward, its image moves upward. At what time do the ball and its image first coincide?

At time t = 0, a ball is dropped (starting from rest) from a height of 3 m. The ball falls freely (i.e. without air resistance) toward a concave spherical mirror that has been laid horizontally on the ground directly below the ball. The mirror has a radius of curvature of magnitude 1 m. a) Calculate the position of the ball's image at t = 0. b) Calculate the position of the ball’s image at an arbitrary time t. In other words, calculate the image position as a function of time. c) Calculate the position of the ball's image at t = 0.5 s. d) As the ball falls downward, its image moves upward. At what time do the ball and its image first coincide?