Explanation Given: Velocity function along the x -axis is v ( t ) = 1 t , t > 0 where at time t = 1 its position is x = 4 Formula Used: Acceleration is the derivative of velocity function and position is the integral of velocity function. Calculation: Consider the function, v ( t ) = 1 t ----- (1) Since acceleration a ( t ) is, a ( t ) = d d t ( v ( t ) ) So, a ( t ) = d d t ( 1 t ) = − 1 2 t t Hence, the acceleratio

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ISBN: 9781337275347

Author: Ron Larson, Bruce H. Edwards

Publisher: Cengage Learning

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Chapter 4.1, Problem 67E

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The acceleration and position function of a particle whose velocity function along the x-axis is v(t)=1t,t>0 where at time t=1 its position is x=4

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Chapter 4.1, Problem 66E

Chapter 4.1, Problem 68E

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The acceleration and position function of a particle whose velocity function along the x -axis is v ( t ) = 1 t , t &gt; 0 where at time t = 1 its position is x = 4

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To Calculate: The acceleration and position function of a particle whose velocity function along the x-axis is v(t)=1t,t>0 where at time t=1 its position is x=4

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Chapter 4 Solutions

The acceleration and position function of a particle whose velocity function along the x -axis is v ( t ) = 1 t , t > 0 where at time t = 1 its position is x = 4

To Calculate:

The acceleration and position function of a particle whose velocity function along the x-axis is v(t)=1t,t>0 where at time t=1 its position is x=4