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Unformatted text preview: Douglass Houghton Workshop, Section 1, Mon 10/24/11 Worksheet Jumpin’ Jehosaphat 1. Suppose you construct a 1 /z scale model of the White House, in order to film it blowing up. You will show the film at 24 frames per second. How many frames per second should you film so that when you slow the speed down, things will fall at believable speeds? Hints: A falling object has a constant acceleration. What does that mean about its velocity at time t ? What does that mean about its height at time t ? So how long would it take an object to fall off the top of the White House (say, 50 ft high)? 2. Consider a mirror in the shape of the graph of y = ± √ 4 x . (a) Draw the mirror (make it big). What shape is it? (b) Draw a light ray travelling leftward along the line y =- b , where b is some positive number (making- b negative). At what point P does the ray hit the mirror? (c) Find, in terms of b , the slope of the tangent to the mirror at P ....
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