Solved: A particle moves along the -axis at a velocity of At time its position is Find

Chapter 5, Problem 63

(choose chapter or problem)

In Exercises 61-64, consider a particle moving along the x-axis where \(x(t)\) is the position of the particle at time \(t, x^{\prime}(t)\) is its velocity, and \(x^{\prime \prime}(t)\) is its acceleration.

A particle moves along the x-axis at a velocity of \(v(t)=1 / \sqrt{t}\), \(t>0\). At time t=1, its position is x=4. Find the acceleration and position functions for the particle.

Text Transcription:

x(t)

t, x^{\prime}(t)

x^{\prime \prime}(t)

v(t)=1 / \sqrt{t}

t>0

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