A ball is thrown vertically up (positive direction), slows down under the Earth's gravity and stops. Neglect air resistance. Assume that the ball starts at x = 0. Graph a(t), v(t), and x(t) vs. t using the GeoGebra simulation below. This activity is qualitative and you only need to get the signs of the initial values, slopes of the curves, and nature of the curvature of the plots correct. Think & Prepare For each graph: 1. What are the initial values/signs (positive, negative, or zero) of position, velocity, and acceleration? 2. What are the end values/signs (positive, negative, or zero) of position, velocity, and acceleration? 3. If the graph is a flat line, is its value positive, negative, or zero? 4. If the graph is linear, is its y-intercept positive, negative, or zero? What about the slope? 5. If the graph is a parabola, where is the initial point and vertex of the parabola? How is the curvature of the parabola? Is the parabola initially changing (increase or decrease) slowly and then faster? Or, the parabola initially changing (increase or decrease) fast and then slower?

A ball is thrown vertically up (positive direction), slows down under the Earth's gravity and stops. Neglect air resistance. Assume that the ball starts at x = 0. Graph a(t), v(t), and x(t) vs. t using the GeoGebra simulation below. This activity is qualitative and you only need to get the signs of the initial values, slopes of the curves, and nature of the curvature of the plots correct. Think & Prepare For each graph: 1. What are the initial values/signs (positive, negative, or zero) of position, velocity, and acceleration? 2. What are the end values/signs (positive, negative, or zero) of position, velocity, and acceleration? 3. If the graph is a flat line, is its value positive, negative, or zero? 4. If the graph is linear, is its y-intercept positive, negative, or zero? What about the slope? 5. If the graph is a parabola, where is the initial point and vertex of the parabola? How is the curvature of the parabola? Is the parabola initially changing (increase or decrease) slowly and then faster? Or, the parabola initially changing (increase or decrease) fast and then slower?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 8PQ: The layout of the town of Popperville is a perfectly square grid, with blocks 100 feet long (Fig....

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