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a radio controlled car rolls 10 m south then reverses direction and rolls 8 m north the car traveled a distance of 18 m and has a displacement of

Respuesta :

The displacement is 2 m south

Explanation:

Distance and displacement are two different quantities:

  • Distance is the total length of the path covered by an object during its motion, regardless of the direction. It is a scalar quantity
  • Displacement is a vector connecting the initial position to the final position of motion of an object. The magnitude of the displacement is the distance in a straight line between the two points

For the car in this problem, the motion is:

10 m south

8 m north

Taking north as positive direction, we can describe the two parts of the motion as

[tex]d_1 = -10 m[/tex]

[tex]d_2 = +8[/tex] m

Therefore,  the final position of the car with respect to the original position is

[tex]x_f = -10 + 8 = -2 m[/tex]

which means 2 m south: so, the displacement of the car is 2 m south.

Learn more about  distance and displacement:

brainly.com/question/3969582

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