Explanation Given: The traveler moves 20.0 km east, 30.0 km southeast and 10.0 km south. Concept used: Distance is the total path traveled by an object; it is a scalar quantity; it has only magnitude and no direction. Displacement is the shortest path traveled by an object; it is a vector quantity; it has both magnitude and direction. Displacement is always less than or equal to the distance covered. The figure of path traveled by person is drawn below. From above figure, it is clear that line BC is the diagonal of the square; therefore, the BE is the side of the square. Write the expression for length BE. BE = BC 2 ...... (I) Here, side BE and EC are equal in length. Apply Pythagoras theorem in Δ ABE . AE = AB 2 + BE 2 ...... (II) Here, AB is the base, BE is perpendicular and AE is hypotenuse. Apply Pythagoras theorem in Δ ECD . ED = EC 2 + CD 2 ...... (III) Here, EC is the base, CD is perpendicular and ED is hypotenuse. Calculation: Substitute 30 km for BC in equation (I). BE = 30 km 2 = 21

2nd Edition

ISBN: 9780100265493

Author: Coletta

Publisher: YUZU

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Chapter 1, Problem 18P

To determine

The traveler’s total displacement.

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