Problem. A particle is moving along a line with velocity given by the function v(t) = t-1 tanh(ln t)[sech(In t) + 1], For any time, t > 0. If the particle is located 9 units to the right of the origin at t = 1, find the position function of the particle at any time t.
Problem. A particle is moving along a line with velocity given by the function v(t) = t-1 tanh(ln t)[sech(In t) + 1], For any time, t > 0. If the particle is located 9 units to the right of the origin at t = 1, find the position function of the particle at any time t.
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![Prove that this position function is the correct answer for
the problem below
Ans. s(t) = – sec h(In t) – In|sech(ln t)|+ 10
Problem. A particle is moving along a line with velocity
given by the function
v(t) = t-1 tanh(ln t)[sech(ln t) + 1],
For any time, t > 0. If the particle is located 9 units to the
right of the origin at t = 1, find the position function of the
particle at any time t.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3384ca5-ed57-4fcf-97ca-ec598d35896c%2F7edc36bf-00d1-4e63-9583-fd9b98395ab9%2F1v7dt0p_processed.png&w=3840&q=75)
Transcribed Image Text:Prove that this position function is the correct answer for
the problem below
Ans. s(t) = – sec h(In t) – In|sech(ln t)|+ 10
Problem. A particle is moving along a line with velocity
given by the function
v(t) = t-1 tanh(ln t)[sech(ln t) + 1],
For any time, t > 0. If the particle is located 9 units to the
right of the origin at t = 1, find the position function of the
particle at any time t.
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