A student travels along some path. Which of the following statements is true about the total distance travelled by the student and the magnitude of the displacement from their starting position to their ending position? O The total distance travelled can be either larger or smaller or equal to the magnitude of the displacement. The total distance traveled must always be equal to the magnitude of the displacement. The total distance traveled must be smaller than or equal to the magnitude of the displacement. O The total distance travelled must be larger than or equal to the magnitude of the displacement.

A student travels along some path. Which of the following statements is true about the total distance travelled by the student and the magnitude of the displacement from their starting position to their ending position? O The total distance travelled can be either larger or smaller or equal to the magnitude of the displacement. The total distance traveled must always be equal to the magnitude of the displacement. The total distance traveled must be smaller than or equal to the magnitude of the displacement. O The total distance travelled must be larger than or equal to the magnitude of the displacement.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 15PQ: A train leaving Albuquerque travels 293 miles, due east, to Amarillo. The train spends a couple of...

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A train leaving Albuquerque travels 293 miles, due east, to Amarillo. The train spends a couple of days at the station in Amarillo and then heads back west 107 miles where it stops in Tucumcari. Suppose the positive x direction points to the east and Albuquerque is at the origin of this axis. a. What is the total distance traveled by the train from Albuquerque to Tucumcari? b. What is the displacement of the train for the entire journey? Give both answers in appropriate SI units.
Two birds begin next to each other and then fly through the air at the same elevation above level ground at 22.5 m/s. One flies northeast, and the other flies northwest. After flying for 10.5 s, what is the distance between them? Ignore the curvature of the Earth.
A particle undergoes three consecutive displacements given by vectors , and . (a) Find the resultant displacement vector of the particle. (b) What is the magnitude of the resultant displacement? (c) If all displacements were along one line, how far would the particle travel?
A car is 2.0 km west of a traffic light at t=0 and 5.0 km east of the light at t=6.0min . Assume the origin of the coordinate system is the light and the positive x direction is eastward. (a) What are the car’s position vectors at these two times? (b) What is the car’s displacement between 0 mm and 6.0 mm?
A protester carries his sign of protest, starting from the origin of an xyz coordinate system, with the xy plane horizontal. He moves 40 m in the negative direction of the x axis, then 20 m along a perpendicular path to his left, and then 25 m up a water tower. (a) In unit-vector notation, what is the displacement of the sign from start to end? (b) The sign then falls to the foot of the tower.What is the magnitude of the displacement of the sign from start to this new end?
A man goes for a walk, starting from the origin of an xyz coordinate system, with the xy plane horizontal and the x axis eastward. Carrying a bad penny, he walks 1300 m east, 2200 m north, and then drops the penny from a cliff 410 m high. (a) In unit-vector notation, what is the displacement of the penny from start to its landing point? (b) When the man returns to the origin, what is the magnitude of his displacement for the return trip?
In order to go from her office to her favorite pizzeria for lunch, a woman walks due east (polar angle of 0^ 0 ) an average speed of 3.2 m/s for 5 minutes and then walks due north (polar angle of 90^ o ) for 4 minutes at an average speed of 2.7 m/s . (a) What distance does she walk to get to the pizzeria ? (b) What is the avernge speed for her trip?
An explorer walks 19km due east, then 15km north, and finally 4km west. A) What is the total distance walked? B) What is the resulting displacement of the explorer from the starting point, including the angle of direction?
(I) A car is driven 225 km west and then 98 km southwest (45°). What is the displacement of the car from the point of origin (magnitude and direction)? Draw a diagram.
a.) Vector A has a magnitude of 6.0 m and points 30° north of east. Vector B⃗ has a magnitude of 4.0 m and points 30° east of north. What is the magnitude of the sum, A +B? b.) What is the direction of the sum A +B, measured counterclockwise from east?
A chimpanzee sitting against his favorite tree gets up and walks 30.2 m due east and 54.7 m due south to reach a termite mound, where he eats lunch. (a) What is the shortest distance between the tree and the termite mound? (b) What direction does the shortest distance make, as a positive angle with respect to due east?
A kayak on a lake is moving at a constant speed of 2.0 m/s in a direction 42.5° north of west. After 14 min, find the following. (a) How far west, in kilometers, has the kayak traveled? (b) How far north, in kilometers, has the kayak traveled?