How To Find Total Distance Traveled By Particle Calculus at Traveling

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How To Find Total Distance Traveled By Particle Calculus. Imagine a person walking 5 meters to the right, and then moving 5 meters to the left as depicted in diagram 1. Now, when the function modeling the pos.

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To find the distance traveled, we need to find the values of t where the function changes direction. (take the absolute value of each integral.) to find the distance traveled in your calculator you must: Now let’s determine the velocity of the particle by taking the first derivative.

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Thus, if v(t) v ( t) is constant on the interval [a,b], [ a, b], the distance traveled on [a,b] [ a, b] is equal to the area a a given by. If we didn't take the absolute value of the integral, it would be zero meaning the object didn't move. Now let’s determine the velocity of the particle by taking the first derivative. However, we know it did move a total of 6 meters, so we have to take the absolute value to show distance traveled.