. A particle is moving along a horizontal line. The velocity (in cm/s) of the particle after t seconds is given by v(t) = tanh t+ tanh t – 1, where t >0. (a) Determine if the particle is speeding up or slowing down at time t = 0, (b) If the particle is initially located 1 cm to the left of the origin, find the position func- tion of the particle at any time t.

University Physics Volume 1
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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter3: Motion Along A Straight Line
Section: Chapter Questions
Problem 113CP: The position of a particle moving along the x -axis varies with time according to x(t)=5.0t24.0t3 ....
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2. A particle is moving along a horizontal line. The velocity (in cm/s) of the particle after
t seconds is given by v(t) = tanh t + tanh? t – 1, where t >0.
(a) Determine if the particle is speeding up or slowing down at time t = 0.
(b) If the particle is initially located 1 cm to the left of the origin, find the position func-
tion of the particle at any time t.
Transcribed Image Text:2. A particle is moving along a horizontal line. The velocity (in cm/s) of the particle after t seconds is given by v(t) = tanh t + tanh? t – 1, where t >0. (a) Determine if the particle is speeding up or slowing down at time t = 0. (b) If the particle is initially located 1 cm to the left of the origin, find the position func- tion of the particle at any time t.
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