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hw6 - Muraj Hamza Homework 6 Due Feb 3 2006 4:00 am Inst...

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Muraj, Hamza – Homework 6 – Due: Feb 3 2006, 4:00 am – Inst: Florin 1 This print-out should have 9 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 (part 1 of 1) 10 points A bowling ball accidentally falls out of the cargo bay of an airliner as it flies along in a horizontal direction. Z Y X W U V As observed by a person standing on the ground and viewing the plane as in the fig- ure, which path would the bowling ball most closely follow after leaving the airplane? 1. X 2. U 3. Y 4. Z 5. V 6. W correct Explanation: The horizontal direction of ball motion is due to initial velocity it got from the air- liner, and the vertical is due to gravity. The resultant motion is on a parabolic curve dotted curve W (example of projectile mo- tion). Note: Dotted curves Z and U are arcs of circles. Dotted line X is a straight line. Dot- ted curve V is a bezier curve. Dotted curve Y is a parabolic curve with axes inverted. 002 (part 1 of 1) 10 points A 0 . 57 kg rock is projected from the edge of the top of a building with an initial velocity of 8 . 76 m / s at an angle 44 above the horizontal. Due to gravity, the rock strikes the ground at a horizontal distance of 14 . 9 m from the base of the building. Assume: The ground is level and that the side of the building is vertical. The accelera- tion of gravity is 9 . 8 m / s 2 . Building 14 . 9 m 44 8 . 76 m / s h How tall, h , is the building? Correct answer: 13 . 0076 m. Explanation: Basic Concepts: v x = v x 0 = constant v y = v y 0 - g t x = v x 0 t y = v y 0 t - 1 2 g t 2 .
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