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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) = tanht + 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.

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) = tanht + 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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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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