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Instantaneous Velocity

There are two...

Question

There are two routes to travel from the place A to B by bus. The first bus reaches the place B via C and the second bus reaches the place B from A directly. The position of A, B and C are represented in the following graph.

Based on the above information, answer the following questions.

If the places A, B and C lies on the x axis such that the coordinates are (-2, 0), (2, 0) and (3,0) respectively, then find the distance between the points A and C.

A

2 km

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B

3 km

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C

4 km

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D

5 km

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Solution

The correct option is D 5 km

Since all the points lie on x axis, let us consider the x axis as a number line.

Hence the distance between A and C will be the sum of the distances between A and 0, 0 and B and B and C.
Distance between A and 0 is |-2| = 2 km
Distance between 0 and B is |2| = 2 km
Distance between B and C is |1| = 1 km

Total distance is 5 km.

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