The velocity v of a point moving along a straight line as a function of the time t [in seconds], is given by v=t – In(t +1) – 2t . Show that the velocity will be zero somewhere in the interval 1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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c) The velocity v of a point moving along a straight line as a function of the time t [in
seconds], is given by v=t² – In(t +1) – 2t . Show that the velocity will be zero
somewhere in the interval 1<t<3. Justify your answer. Find the time (to 2 d.p.) at
which the velocity will be zerol.
Answer: t = 2.50 s
Transcribed Image Text:c) The velocity v of a point moving along a straight line as a function of the time t [in seconds], is given by v=t² – In(t +1) – 2t . Show that the velocity will be zero somewhere in the interval 1<t<3. Justify your answer. Find the time (to 2 d.p.) at which the velocity will be zerol. Answer: t = 2.50 s
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