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A truck traveled east 25 km in 30 minutes, north 20 km in 45 minutes, and then west 25 km in 20 minutes.  What is the displacement of the truck?

Question

A truck traveled east 25 km in 30 minutes, north 20 km in 45 minutes, and then west 25 km in 20 minutes. What is the displacement of the truck?

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Solution

The displacement of the truck can be calculated by considering the final position of the truck relative to its initial position.

Step 1: Determine the final position in the east-west direction. The truck traveled east 25 km and then west 25 km. So, in the east-west direction, the displacement is 25 km (east) - 25 km (west) = 0 km.

Step 2: Determine the final position in the north-south direction. The truck traveled north 20 km. So, in the north-south direction, the displacement is 20 km (north).

Step 3: Combine the displacements in the east-west and north-south directions. Since the displacement in the east-west direction is 0 km and the displacement in the north-south direction is 20 km north, the overall displacement of the truck is 20 km north.

This problem has been solved

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