A locomotive composition, with a constant speed of 75 km/h, moves in the westbound for fifty minutes, then in a direction that makes an angle of 25° to the west with the north direction, for 35 min and finally in the eastbound for another 40 min. Determine: (a) the module of the average composition speed, in km/h, during that journey; b) the angle of the average speed of the composition, in relation to the first direction of the trip.

A locomotive composition, with a constant speed of 75 km/h, moves in the westbound for fifty minutes, then in a direction that makes an angle of 25° to the west with the north direction, for 35 min and finally in the eastbound for another 40 min. Determine: (a) the module of the average composition speed, in km/h, during that journey; b) the angle of the average speed of the composition, in relation to the first direction of the trip.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter1: Matrices, Vectors, And Vector Calculus

Section: Chapter Questions

Problem 1.22P

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Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

A locomotive composition, with a constant speed of 75 km/h, moves in the
westbound for fifty minutes, then in a direction that makes an angle of 25° to the west with the north direction, for 35 min and finally in the eastbound for another 40 min. Determine:
(a) the module of the average composition speed, in km/h, during that journey;
b) the angle of the average speed of the composition, in relation to the first direction of the trip.

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