A car completes a half of a circular track that has a radius of 10 m. What is the distance traveled by the car? What is the displacement of the car?

distance=PI*radius

displacement=opposite side=-2r

distance = 31.4 m; displacement = 10 m

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To find the distance traveled by the car, we first need to calculate the length of half of the circular track. The length of the whole circular track is given by the formula:

C = 2πr,

where C is the circumference of the circle and r is the radius.

In this case, the radius is 10 m. Therefore, the circumference of the whole circular track is:

C = 2π(10) = 20π m.

Since we only want half of the distance traveled, we divide the circumference by 2:

Distance traveled = (20π m) / 2 = 10π m.

So the car travels a distance of 10π meters.

Now let's calculate the displacement of the car. Displacement refers to the change in position from the starting point to the ending point. In this case, since the car completes half of the circular track, the starting and ending points are the same, resulting in a displacement of zero.

distance = 31.4 m; displacement = 20 m