Typical backyard ants often create a network of chemical trails for guidance. Extending outward from the nest, a trail branches (bifurcates) repeatedly, with 60° between the branches. If a roaming ant chances upon a trail, it can tell the way to the nest at any branch point: if it is moving away from the nest, it has two choices of path requiring a small turn in its travel direction, either 30° leftward or 30° rightward. If it is moving toward the nest, it has only one such choice. The figure below shows a typical ant trail, with lettered straight sections of 1.88 cm length and symmetric bifurcation of 60°. Path v is parallel to the y axis. т п B d. If an ant enters the trail at point A, find the following. (a) the magnitude of the ant's displacement from the nest (find it in the figure) cm (b) the angle (relative to the positive direction of the superimposed x axis) of the ant's displacement from the nest ° counterclockwise from the +x-axis If an ant enters the trail at point B, find the following. (c) the magnitude of the ant's displacement from the nest cm (d) the angle (relative to the positive direction of the superimposed x axis) of the ant's displacement from the nest ° counterclockwise from the +x-axis

Typical backyard ants often create a network of chemical trails for guidance. Extending outward from the nest, a trail branches (bifurcates) repeatedly, with 60° between the branches. If a roaming ant chances upon a trail, it can tell the way to the nest at any branch point: if it is moving away from the nest, it has two choices of path requiring a small turn in its travel direction, either 30° leftward or 30° rightward. If it is moving toward the nest, it has only one such choice. The figure below shows a typical ant trail, with lettered straight sections of 1.88 cm length and symmetric bifurcation of 60°. Path v is parallel to the y axis. т п B d. If an ant enters the trail at point A, find the following. (a) the magnitude of the ant's displacement from the nest (find it in the figure) cm (b) the angle (relative to the positive direction of the superimposed x axis) of the ant's displacement from the nest ° counterclockwise from the +x-axis If an ant enters the trail at point B, find the following. (c) the magnitude of the ant's displacement from the nest cm (d) the angle (relative to the positive direction of the superimposed x axis) of the ant's displacement from the nest ° counterclockwise from the +x-axis

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 51P: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...

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The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

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I am stuck on this HW problem

Typical backyard ants often create a network of chemical trails for guidance. Extending outward from the nest, a trail branches (bifurcates) repeatedly, with 60° between the branches. If a roaming ant
chances upon a trail, it can tell the way to the nest at any branch point: if it is moving away from the nest, it has two choices of path requiring a small turn in its travel direction, either 30° leftward or
30° rightward. If it is moving toward the nest, it has only one such choice. The figure below shows a typical ant trail, with lettered straight sections of 1.88 cm length and symmetric bifurcation of 60°.
Path v is parallel to the y axis.
т
п
B
d.
If an ant enters the trail at point A, find the following.
(a) the magnitude of the ant's displacement from the nest (find it in the figure)
cm
(b) the angle (relative to the positive direction of the superimposed x axis) of the ant's displacement from the nest
° counterclockwise from the +x-axis
If an ant enters the trail at point B, find the following.
(c) the magnitude of the ant's displacement from the nest
cm
(d) the angle (relative to the positive direction of the superimposed x axis) of the ant's displacement from the nest
° counterclockwise from the +x-axis

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