w1k - Douglass Houghton Workshop Section 1 Wed Worksheet...

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Douglass Houghton Workshop, Section 1, Wed 10/26/11 Worksheet Kangaroo 1. We still have this 1 /z scale model of the White House, which we plan on blowing up. We want to decide what speed to run the film at, so that when we slow it down to 24 frames per second, we get a realistic explosion. (a) Near the surface of the earth, the force of gravity makes falling objects accelerate downward at the constant rate of 32 ft/sec 2 . What, therefore, is v ( t ), the velocity of a falling object t seconds after it is dropped? Note v ( t ) is acceleration. (b) What, then, is h ( t ), the height of an object t seconds after it is dropped from a height H ? Note h ( t ) is velocity and h (0) = H . (c) How long does it take an object to fall from the top of the real White House, which is 70 ft high? So how many frames should we show for the fall? (d) How long does it take an object to fall from the top of the model? (e) How many frames per second should you film at?
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