CAP Exam Preparation application form

Please fill out this form if you are a high school student in one of the grades 10, 11 or 12 and you want to participate in the High School CAP Exam preparation workshop organized by the Department of Physics at the University of Toronto. 

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High School
Info about the high school you are attending.
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Physics Quiz
Please answer the following four physics questions. It is not required that you get any or all of these questions correct in order to be accepted into the CAP exam prep workshop. The questions are used by us to get an idea of your background and to help us form groups on the workshop day. If we do have more applicants than spaces available, we may use the ranking of these results to choose what candidates we accept, so do try your best.
Question 1   A ball with mass 0.050 kg is fired directly upwards with an initial speed of 5.0 m/s. Air resistance is negligible, and the acceleration due to gravity is 9.80 m/s2. What is the maximum height the ball will reach above its initial position?

Question 2   A large beach ball is thrown upward to a height of h. Air resistance is not negligible. t1 is the time for the ball to travel from its starting position up to its maximum height. t2 is the time for the ball to fall from its maximum height back down to its original starting position. How are t1 and t2 related?

Question 3   To paint the surface of a large solid metal sculpture we need 1 L of paint. If we melt the sculpture and use the same amount of metal to create 10 smaller but otherwise identical sculptures, how much paint is needed to paint the surfaces of all 10 smaller sculptures?

Question 4   An observer is running toward a mirror with a speed of 15 km/h, and the mirror is moving toward the observer with a speed of 10 km/h. What is the relative speed with which the observer sees his image approaching him?