Chapter 6 Skill Building

# Chapter 6 Skill Building - MasteringPhysics Assignment...

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MasteringPhysics: Assignment Print View Projectile Motion Tutorial Learning Goal: Understand how to apply the equations for 1-dimensional motion to the y and x directions separately in order to derive standard formulae for the range and height of a projectile. A projectile is fired from ground level at time , at an angle with respect to the horizontal. It has an initial speed . In this problem we are assuming that the ground is level. Part A Find the time it takes the projectile to reach its maximum height. Hint A.1 Hint not displayed Part A.2 Part not displayed Part A.3 Part not displayed Hint A.4 Hint not displayed Part A.5 Part not displayed Express in terms of , , and (the magnitude of the acceleration due to gravity).

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MasteringPhysics: Assignment Print View ANSWER: = Part B Find , the time at which the projectile hits the ground. Part B.1 Part not displayed Part B.2 Part not displayed Hint B.3 Hint not displayed Express the time in terms of , , and . ANSWER: = Part C Find , the maximum height attained by the projectile. Hint C.1 Hint not displayed Part C.2 Part not displayed Hint C.3 Hint not displayed Express the maximum height in terms of , , and . ANSWER: = Part D
MasteringPhysics: Assignment Print View Find the total distance (often called the range) traveled in the x direction; in other words, find where the projectile lands. Hint D.1 Hint not displayed Part D.2 Part not displayed Hint D.3 Hint not displayed Part D.4 Part not displayed Express the range in terms of , , and . ANSWER: = The actual formula for is less important than how it is obtained: 1. Consider the x and y motion separately. 2. Find the time of flight from the y -motion 3. Find the x -position at the end of the flight - this is the range. If you remember these steps, you can deal with many variants of the basic problem, such as: a cannon on a hill that fires horizontally (i.e. the second half of the trajectory), a projectile that lands on a hill, or a projectile that must hit a moving target. PSS 6.1: Shooting the Breeze

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MasteringPhysics: Assignment Print View 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.
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Chapter 6 Skill Building - MasteringPhysics Assignment...

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