What is the average acceleration of the particle during the following time intervals? (Enter your answers in m/s2. Indicate the direction with the signs of your answers.) (i) 0s to 4.00 s -20 X What do you notice about the initial and final velocities along this time interval? What is the change in velocity? What does this imply about the average acceleration? m/s² (ii) 4.00 s to 12.0 s 40 X What is the definition of average acceleration? What are the initial and final times? Read the initial and final velocities from the graph. m/s² (iii) 0 s to 16.0 s m/s²

Q: A particle moves along a horizontal line. Its position function is s(t) for t20. For each problem,…

A: Given:-              Position                              s t = -t3 +18 t2 - 81 t

Q: Problem 12: Use the position vs. time graph shown in figure to the right to answer the following…

A: The velocity is given by the slope of the line in the position-time graph.

Q: what would the motion look like for a person starting some distance away from the origin and walking…

A: Given : Initial position = 0.4 unit , to the right Speed = constant, to the right

Q: the range of values of t

A: Given : Velocity function v=3t2+mt+n If velocity is given be v, acceleration of the particle can be…

Q: Solve the Initial Value Problem 3. If a ball is dropped from 120 feet from the ground. How many…

A: Given: The intial velocity of the ball is 0 ft/s. The height from the ground is 120 ft. The…

Q: A vehicle is driving along a road. Its position function is given by a function s(t), where s is…

A: let us say that vehicle started at x=0with no initial velocityand it is moving at constant…

Q: Time t Position x

A: Velocity is rate of change of position wrt time. v=dsdt this can also be represented by the slope of…

Q: The position of a particle is given by the equation ?(?) = t3 − 6t2 + 9t, where t is in seconds and…

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Q: Solve the following motion problems. 1. A ball is thrown vertically from a point 30 feet above the…

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Q: An object moving with uniform acceleration has a velocity of 10.0 cm/s in the positive x-direction…

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Q: The motion of a cart can be represented by x (t) = (-2,5m/s)t – 10.0m. At what time does this cart…

A: Given that:The motion of cart is represented by the equationxt=-2.5 m/st-10m

Q: The acceleration of a point moving along a straight line a=4t + 2 m/s2. When t=2 sec, the position…

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Q: 0Lt L2O sees

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Q: PLEASE ANSWER ONLY LETTER E The position of a particle is given by the equation s(t) = t3 − 6t2 +…

A: The position of a particle is given by the equation s(t) = t3 − 6t2 + 9t, where time  is in seconds…

Q: How fast, in meters per second, is the boat moving at t = 4.41 s? 2. How far, in meters, is the boat…

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Q: 16. Draw a qualitative position-time graph that shows a man who starts at the origin, then runs…

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Q: Supply what is asked with the correct integer values, i.e. no decimal places. Do not forget the…

A: Given,The position vs. time graph of a moving particle for a time interrval of 23 sec

Q: Consider the graph below, representing the velocity of a car as a function of time. By inspecting…

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Q: May I please get help the wrong one (question f): What is the final position x (in m) of the object…

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Q: A basketball is rolling rightward onto the court with a speed of 4.0 m/s and slows down with a…

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Q: world-champion sprinter runs the 100-meter dash. He accelerates from rest at a rate of 2.4 m/s for…

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Q: 7. Kinematics You are riding your bicycle along a busy street. You are stopped at a stoplight that…

A: Consider the given data as below. The velocity as a function of time, vt=V1-tT-1 For stopping, v=0…

Q: n example of a situation that I might be able to use an equation with a single unknown would be,…

A: Case:1 Distance from the office to home=100 miles Uniform speed=75 miles per hour Time=distance…

Q: A spacecraft is traveling with a velocity of Vox = 6360 m/s along the +x direction. Two engines are…

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Q: v (m/s) 15 10 5 LA 0 16 24 -5 32 -10- 20 -15 -20 (a) What is the average acceleration of the object…

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Q: The acceleration of a car moving along a straight line is given by the relation [ a = kt ]. The…

A: Given:- A car moving in the straight line as the acceleration of the car is given as  a = kt2  The…

Q: Solve the following motion problems. 2. From a point 160 feet above the ground, a body is thrown…

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Q: The position vs. time graph of a moving particle for a time interval of 23 seconds is shown below.…

A: We know that, Distance= Velocity x Time. Now, Instantaneous velocity at t=11s can be given by…

Q: What is the instantaneous velocity of the particle at t = 11 s?  m/s 2) What is the average…

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Q: i = Ae-Ht &+ Bt cos where A, B, t, and 1 are all non-zero constants. What are the units of B and u ?…

A: Using simple concepts we can solve the problem as solved below

Q: Based on Table D, plot the velocity of body B against time. Give an 4. interpretation of the graph.…

A: Graph for table D From the graph, velocity is uniformly increasing Since the slope is constant

Q: Solve the following kinematics problem. Draw the diagram and detall your solution? 1. Draw the…

A: x={t2 , 0≤t≤2      t   , 2<t<π      sint, π≤t≤2π We need to find velocity and acceleration.

Q: When we estimate distances from velocity data, it is sometimes necessary to use times to, t1, t2,…

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Q: Two students are on a balcony a distance h above the street. One student throws a ball vertically…

A: Any type of motion can be either uniform or accelerated. Here it is the case of uniformly…

Q: A motorcycle begins at rest at t0 = 0 seconds. The motorcycle starts moving, and eventually covers a…

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Q: In class, we used a numerical method to determine the velocity of an object at t = 2.00 s given that…

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Q: A particle starts from s = 0 and travels along a straight line with a velocity v = (t^2 - 4t + 3)…

A: Given: The velocity of the particle, v =(t2-4t+3) m/s

Q: At a time t seconds, after it is thrown up in the air, a tomato is at a height (in meters) of f(t)=…

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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.