A ball rolls off the edge of a table. Let the time the ball leaves the table surface be : = 0. If the table is horizontal, its velocity as a function of time is given by V- 1.60i - 9.80j, with v in m/s and t in s. The ball's displacement from the edge of the table from :-o to t- 0.410os (while it is in flight), is given by r0.410. v dt. Use this theorem to perform the integration: 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 0.410 s. (Express your answer in vector form. Do not include units in your answer.) A = m
A ball rolls off the edge of a table. Let the time the ball leaves the table surface be : = 0. If the table is horizontal, its velocity as a function of time is given by V- 1.60i - 9.80j, with v in m/s and t in s. The ball's displacement from the edge of the table from :-o to t- 0.410os (while it is in flight), is given by r0.410. v dt. Use this theorem to perform the integration: 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 0.410 s. (Express your answer in vector form. Do not include units in your answer.) A = m
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 46SE: Near the surface of the moon, the distance that an object falls is a function of time. It is given...
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Question
Transcribed Image Text:A ball rolls off the edge of a table. Let the time the ball leaves the table
surface be : = 0. If the table is horizontal, its velocity as a function of time is
given by
V- 1.60i - 9.80j,
with v in m/s and t in s. The ball's displacement from the edge of the table
from :-o to t- 0.410os (while it is in flight), is given by
r0.410.
v dt.
Use this theorem to perform the integration:
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 0.410 s.
(Express your answer in vector form. Do not include units in your answer.)
A =
m
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