A body of mass m has initial velocity v0 in the positive x-direction. It is acted on by a constant force F for time t until the velocity becomes zero; the force continues to act on the body until its velocity becomes −v0 in the same amount of time. Write an expression for the total distance the body travels in terms of the variables indicated. (Use any variable or symbol stated above as necessary.)

A body of mass m has initial velocity v0 in the positive x-direction. It is acted on by a constant force F for time t until the velocity becomes zero; the force continues to act on the body until its velocity becomes in the same amount of time. Write an expression for the total distance the body travels in terms of the variables indicated.

Step-by-step solution:

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The kinematic equation that provides the relationship between final velocity, initial velocity, acceleration and time is,

Here is the final velocity,is the initial velocity, is the acceleration andis the time .

The kinematic equation that provides the relationship between displacement, initial velocity, acceleration and time is,

Here, is the displacement, is the initial velocity and is the time.

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