A ball rolls off the edge of a table. Let the time the ball leaves the table surface be t = 0. If the table is horizontal, its velocity as a function of time is given by v 1.101 9.80tj, with ✓ in m/s and t in s. The ball's displacement from the edge of the table from t = 0 to t = 0.395 s (while it is in flight), is given by - 6.⁰.³ Ar = 0.395. v dt. Use this theorem to perform the integration: [[P + Q(x)] dx = Pf dx + of f(x) dx. dx + Ç Consider the units and unit vectors to be the constants P and Q. Integrate to determine the ball's displacement (in m) from the table edge at 0.395 s. (Express your answer in vector form. Do not include units in your answer.) Ar = .4345i +.7645j Substitute the vector expression into the integral, and apply the theorem to separate the vector components into two integrals, which you can solve individually. Be sure to keep track of your signs. m

A ball rolls off the edge of a table. Let the time the ball leaves the table surface be t = 0. If the table is horizontal, its velocity as a function of time is given by v 1.101 9.80tj, with ✓ in m/s and t in s. The ball's displacement from the edge of the table from t = 0 to t = 0.395 s (while it is in flight), is given by - 6.⁰.³ Ar = 0.395. v dt. Use this theorem to perform the integration: [[P + Q(x)] dx = Pf dx + of f(x) dx. dx + Ç Consider the units and unit vectors to be the constants P and Q. Integrate to determine the ball's displacement (in m) from the table edge at 0.395 s. (Express your answer in vector form. Do not include units in your answer.) Ar = .4345i +.7645j Substitute the vector expression into the integral, and apply the theorem to separate the vector components into two integrals, which you can solve individually. Be sure to keep track of your signs. m

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Description: A ball rolls off the edge of a table. Let the time the ball leaves the table surface be t = 0. If the table is horizontal, its velocity as a function of time is given byv = 1.101 - 9.80tĵ,with v in m/s and t in s. The ball's displacement from the ed

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.3: Relative Velocity

Problem 27PP

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A ball rolls off the edge of a table. Let the time the ball leaves the table surface be t = 0. If the table is horizontal, its velocity as a function of time is given by ✓ = 1.10î - 9.80tĵ, with v in m/s and t in s. The ball's displacement from the edge of the table from t = 0 to t = 0.395 s (while it is in flight), is given by Ar = Jo Ar = 0.395 Use this theorem to perform the integration: v dt. [ [ P + Qf(x)] dx = p[ dx + Q f f(x) dx. P[ Consider the units and unit vectors to be the constants P and Q. Integrate to determine the ball's displacement (in m) from the table edge at 0.395 s. (Express your answer in vector form. Do not include units in your answer.) m
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