1. A biologist is investigating the behavior of ants. The graph below shows the position of an ant as a function of time as the ant moves along a celery stalk. To describe the ant's motion, a coordinate system is chosen such that x = 0 at the center of the stalk and positive values of x indicate positions on the leafy end of the stalk. 8 t, sec (a) At what time or times, if any, is the ant at rest? Explain. (b) At what time or times, if any, is the ant moving toward the leafy end of the celery stalk? Explain. (c) At what time or times, if any, does the ant change direction? Explain.

Q: 8. Physics students were modeling the height of a ball once it was dropped from the roof of a 25…

A: initial velocity (v) = 0 msThe height of ball above the ground (h) is given by : h(t) = 300 - 16t2

Q: You stand at the top of a deep well. To determine the depth, D, of the well you drop a rock from the…

A: Given:- t = 3.1 sec vs = 336 m/s Distance travelled by sound in upward direction equals the distance…

Q: A robot has been designed and is tested on the course above (A-B-C-D-E). If the robot takes 3.4…

A: Required to find the average speed of the robot.

Q: rabbit is moving in the positive x-direction at 1.50 m/s when it spots a predator and accelerates to…

A:

Q: A test car starts from rest on a horizontal circular track of 85-m radiu seconds. Determine the…

A: radius r = 85 m initial velocity u = 0 final velocityv = 85 km/h    = 85 x 1000/3600    = 23.61 m/s…

Q: The position of a particle as a function of time is given by: F(t) = (8t + 6t³)i + (10-2t²)ĵ where r…

A:

Q: X Your answer is incorrect. The figure gives the acceleration a versus time t of a particle. Which…

A: given :- graph of acceleration vs time .

Q: A soccer ball is rolling towards the net. It bounces off a goal post towards Amy, who passes the…

A:

Q: 2. A particle moves along the x-axis so that its velocity at any time t 2 0 is given by v(t) = 3t² –…

A: (a) Refer to the plot below :  Distance travelled by the particle between t=1 to t=5 is the sum of…

Q: A rabbit is moving in the negative x-direction at 2.30 m/s when it spots a predator and accelerates…

A:

Q: Concept Simulation 2.3 offers a useful review of the concepts central to this problem. An astronaut…

A:

Q: The position of a dragonfly that is flying parallel to the ground is given as a function of time by…

A:

Q: The velocity of a particle is defined as v(t) = {0.8t² i + 12t¹/2j+5k} m/s. Determine the magnitude…

A:

Q: A particle moving along the x-axis has its velocity described by the function Vz = is in s. Its…

A:

Q: Ed drives back and forth along Main Street, which runs east-west, stopping a few different places to…

A: Given data:  Time (t) = 1.75 hours Total distance (d) = 4.2 km Net displacement (ΔX) = -1.2 km

Q: A student begins at rest and then walks north at a speed of v₁ = 0.85 m/s. The student then turns…

A:

Q: The acceleration of a particle is a constant. At t = 0 the velocity of the particle is (10 i + 20…

A: Acceleration is defined as the rate of change of velocity wrt time.

Q: 1. A ball is caught in a padded mitt. If the deceleration of the ball is 2.19x 10 m/s?, and 2.14 x…

A: The deceleration of the ball, a = -2.19×104 m/s2 The time interval, t = 2.14×10-3 s The final…

Q: At the construction site of a tall building, a worker is in an elevator descending at a constant…

A:

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.