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Patty runs two times around a circular track that has a radius of 30 meters, ending up back where she started. Calculate the distance and displacement.

Respuesta :

The concepts of vectors and scalars we could find the answers are:

  • Distance traveled 377 m
  • Total displacement 0 m

Given parameters

  • Radius of the running track r = 30 m

To find

  • Distance and displacement

Displacement is a vector unit that has modulus and direction, so you must calculate using vector addition.

The distance is a scalar quantity that is calculated using the Pythagorean theorem if the distance is in several directions or with the algebraic sum if it is in one dimension.

Let's start by calculating the length of the circle

           d = 2π r

           d = 2π 30

           d = 188.50 m

They indicate that Patty starts and ends at the same point and goes around the track twice

The distance is

           D = 2 d

           D =2 188.50

           D =  377 m

Displacement

 Since it begins and ends at the same point, the modulus of the vector must be zero

          D = 0 m

the bold indicates vector

 

In conclusion, using the concepts of vectors and scalars we were able to find the answers are:

  • Distance traveled 377 m
  • Total displacement 0 m

Learn more about distance and displacement here:

https://brainly.com/question/22565268

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