A bicyclist starts from home and rides back and forth along a straight east/west high-way. Her velocity as a function of time is given by v(t). Determine the most accurate description of what ∫011v(t)dt represents.A)The total distance the bicyclist rode in the eleven minutes.B)The bicyclist’s average velocity over the eleven minutes.C)The bicyclist’s distance from the home after the eleven minutes.

Question
Asked Apr 15, 2019
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A bicyclist starts from home and rides back and forth along a straight east/west high-way. Her velocity as a function of time is given by v(t). Determine the most accurate description of what ∫011v(t)dt represents.

A)

The total distance the bicyclist rode in the eleven minutes.


B)

The bicyclist’s average velocity over the eleven minutes.


C)

The bicyclist’s distance from the home after the eleven minutes.

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Expert Answer

Step 1

Velocity is defined as displacement with respect to time. Hence when the velocity function is integrated with respect to time t, the resultant would represent the displacement i.e. distance from the point of origin.

So when the integral i...

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Math

Calculus

Integration

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