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MasteringPhysics-ch 6 - MasteringPhysics Assignment Print...

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MasteringPhysics: Assignment Print View http://session.masteringphysics.com/myct/assignmentPrint?assignm... 1 of 18 10/20/07 11:00 PM [ Print View ] physics 2211 MP06: Chapter 6 Due at 5:30pm on Monday, October 22, 2007 View Grading Details Projectile Motion--Conceptual A cannon is fired from the top of a cliff as shown in the figure. Ignore drag (air friction) for this question. Take as the height of the cliff. Part A Which of the paths would the cannonball most likely follow if the cannon barrel is horizontal? Part A.1 Find the y position as a function of time Obtain a function for the y position of this cannonball as a function of the time after it is fired. Use for the magnitude of the acceleration due to gravity, and take at the base of the cliff, with positive upward. ANSWER: = Part A.2 Interpreting your equation Look at the formula you obtained for . At the projectile has been flying for 1/2 of the total flight time. According to your formula, what fraction of the way has it fallen down toward the ground? ANSWER: hardly at all 1/4 of the way down 1/2 of the way down 3/4 of the way down. [ Print ]
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MasteringPhysics: Assignment Print View http://session.masteringphysics.com/myct/assignmentPrint?assignm... 2 of 18 10/20/07 11:00 PM Part B Now the cannon is pointed straight up and fired. (This procedure is not recommended!) Under the conditions already stated (drag is to be ignored) which of the following correctly describes the acceleration of the ball? ANSWER: A steadily increasing downward acceleration from the moment the cannonball leaves the cannon barrel until it reaches its highest point A steadily decreasing upward acceleration from the moment the cannonball leaves the cannon barrel until it reaches its highest point A constant upward acceleration A constant downward acceleration The acceleration of the cannonball after it is fired is the constant acceleration due to gravity. PSS 6.1: Shooting the Breeze Learning Goal: To practice Problem-Solving Strategy 6.1 for projectile motion problems. A student throws rocks from the roof of a building. All of the rocks are thrown with the same initial speed and from the same initial height , but they are thrown with different angles with respect to the horizontal. Derive an expression for the minimum angle that the landing velocity of the rock can make with the horizontal. MODEL: Make simplifying assumptions. VISUALIZE: Use a pictorial representation. Establish a coordinate system with the x axis horizontal and the y axis vertical. Show important points in the motion on a sketch. Define symbols and identify what you are trying to find. SOLVE: The acceleration is known: and . Thus the problem becomes one of kinematics. The kinematic equations are , where is the same for the horizontal and vertical components of the motion. Find from one component, then use that value for the other component.
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