You are watching ants dig through an ant farm as an exercise in relaxation and mindfulness, and you become fixated on one ant. From your point of view, the ant farm appears as a 2D plane in which ants can move vertically (up/down) or horizontally (left right). The ant starts by walking up at a speed of 4.1 millimeters per second (mm/s). After 18 seconds, it turn left. The tunnel that the ant is crawling through is a bit more constricted, and so it slows down to 3.5 mm/s and continues walking in that direction for another 13 seconds. When it reaches the edge of the ant farm, it turns right and tries to walk along the wall to reach the surface. With the sun in view, it speeds up to 6.8 mm/s for 19 seconds until it finally reaches the surface. At this point, how far (in centimeters) is the ant from its starting point? Note: 1 mm = 10 3 m, 1 cm = 102 m
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
Given Data :
The speed of ant in vertically upward direction is given as v1 = 4.1mm/s.
The speed of ant in left direction is given as v2 = 3.5mm/s.
The speed of ant in right direction is given as v3 = 6.8mm/s.
The ant is travelling with a speed v1 for time given as t1 = 18sec.
The ant is travelling with a speed v2 for time given as t2 = 13sec.
The ant is travelling with a speed v3 for time given as t3 = 19sec.
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