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Australian AMC 2010 - Intermediate Question 24

AMC AUSTRALIA · Australian AMC 2010 - Intermediate

Question 24

A ball starts rolling from the centre of a $3\text{ m}\times4\text{ m}$ room in a direction of $45^\circ$ to the walls. It rolls in a straight line except when it bounces off a wall and it does that at an angle of $45^\circ$.

Question illustration

After it has travelled 20 m, how many times has it bounced off a wall?
  1. 5
  2. 6
  3. 7
  4. 8
  5. 9