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?
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![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe797144e-f278-4cfc-bcaf-8db94ba34ace%2Fb3fe8cdb-469b-4a03-b3c5-c027b0f0924e%2Fxwjrxvd_processed.png&w=3840&q=75)
Transcribed Image Text: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?
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