Question

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. Figure shows a typical ant trail, with lettered straight sections of 1.7 cm length and symmetric bifurcation of 6

Answer 1

Assuming that the w branch is at 60 degrees from the x axis what would be the first step?

Answer 2

sin(60) = (sq-rt( 3))/2 = .866

Answer 3

Do you know how to continue this?Or do you need help?

Answer 4

1) The absolute vertical distance from the x-axis is the sum of = 2 cm x sin(60) + 2 cm + 2 x sin(60) + 2 cm
2) The angle from the x axis is 90
3)=2 cm x sin(60) + 2 + 2 x sin(60) + 2 x sin 30 + 2 x sin(0)
4) The angle from the x axis is 0
(The sin of an angle) X (the absolute length) = the vertical distance
(The cos of an angle) X (the absolute length) = the horizontal distance

Answer 5

60˚. The angle between path w and the y axis is 30˚. What are the (a) magnitude and (b) angle (relative to the positive direction of the superimposed x axis) of an ant's displacement from the nest (find it in the figure) if the ant enters the trail at point A? What are the (c) magnitude and (d) angle if it enters at point B?

Answer 6

if this is a diffrent problem repost it

Answer 7

no it's a continuation of the question :)

Answer 8

oh ok :) have you started this one?

Answer 9

i'm trying but my answers are incorrect :(

Answer 10

im not sure about this one and i dont want to give the wrong info maybe @Luigi0210 or @apoorvk can help

Answer 11

oh thank you for helping me @pooja195 :)

Answer 12

haha your welcome :)

Answer 13

Alright then.. First up, the visualisation.

So, we make the path. Assuming the tiny forms move along Positive- X Axis: