A car at POSITION x1= 0 m at TIME t1=0 s, travels at VELOCITY v= 30.1 m/s. What is its POSITION x2 in m at TIME t2= 11.8s?

Q: A space shuttle is launched from rest. It takes 8.00 s to reach 158 km/h , and at the end of the…

A: The total time taken by the shuttle is,Substitute the values,

Q: A particle moves along the x-axis according to the equation x(t) = 2.0 − 4.0t2 m. What are the…

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Q: The Oscar Mayer Weinermobile is moving at 6 m/s when it begins to accelerate at 3.1 m/s2 . To the…

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Q: Given the position versus time plot of an object, which of the following time is the object not…

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Q: The position of a particle moving along the x-axis is given by x = 11 + (14 m/s) t – (2 m/s2) t2…

A: Average velocity v→avg=x→f-x→iΔt=x→t = 4-x→t = 1Δt

Q: 5. In 5.0 s, a particle moving with constant acceleration along the x axis goes from x = 20 m to x =…

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Q: The position of a particle moving in one dimension along the x axis is given by x(t) =5.5 + 7.8t +…

A: x(t) = 5.5+7.8t+2.1t2velocity :V = dxdtV = 7.8 +2(2.1)tV(t) = 7.8+4.2t m/s

Q: A moving object accelerates uniformly from 75 m/s at time t=0 to 135 m/s at t=10s. How far did it…

A: Given data:  Initial velocity at t = 0 s (Vi) = 75 m/s Final velocity at t = 10 s (Vf) = 135 m/s…

Q: • A ball is thrown straight down at 12m/s toward the ground from a height of 45m. • How long does it…

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Q: The position of a rabbit along a straight tunnel as a function of time is plotted in the figure.…

A: Instantaneous speed is slope of the displacement curve.At time t = 10 sec, slope of the tangent is…

Q: At time t = 0, a particle has a velocity of m a(t) v = 4.00. The following graph shows the particles…

A: Dear student The area under acceleration- time graph gives us the total change in velocity of the…

Q: A particle moving at constant acceleration has velocities of 2.0 m/s at t = 2.0 s and −7.6 m/s at t…

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Q: In a location where the train tracks run parallel to a road, a high-speed train traveling at 100 m/s…

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Q: Given the velocity versus time graph. At what times is the acceleration zero? 5 4. 3 2 1 -1 -2- v…

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Q: Given the position versus time plot of an object, which of the following statement is correct? 1.0F…

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Q: At time t = 1 s, a particle is traveling at 72m/s and begins to decelerate at the rate a(t) = −t−1/2…

A: The solution to this problem is completely based on integral analysis, where the integral expression…

Q: A ball is thrown, and its velocity at time t is v(t) = (−t + 5) meters per second. What is its…

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Q: According to the velocity time relation as shown in the following graph, what is the displacement of…

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Q: A train is traveling down a straight track at 20 m/s when the engineer applies the brakes, resulting…

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Q: At time t = 0 s, a rock is thrown vertically upward from the ground. At time t = 1.6 s, it passes…

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Q: A car at POSITION x1 = 0 m at TIME t1 = 0 s, travels at VELOCITY v = 23.4 m/s.  What is its POSITION…

A: Given data:  At time t1 = 0 s the position is x1 = 0 m Velocity (v) = 23.4 m/s Required: The…

Q: To pass a physical fitness test, Massimo must run 1000 m at an average rate of 4.00 m/s. He runs the…

A: Given information : Average speed = 4 m/s Distance = 1000m Time required to cover 1000 m at average…

Q: The position versus time for a certain particle moving along the x axis is shown in Figure P2.3.…

A: Given data: The position of the particle at 0 sec from graph is x0=0 m. The position of the…

Q: An object is moving along the x-axis. At t = 0 it is at x = 0. Its x-component of velocity vx as a…

A: Write the given values with suitable variables. vxt=αt-βt3α=7.6 m/s2β=4.4 m/s4x=0 Here, x denotes…

Q: What is the acceleration of a particle at time 3seconds if it has a position versus time curve with…

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Q: The motion of the particle moving in space is defined by the following velocities: Vx=2t²; Vy=4-t²:…

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Q: A driver, driving at a constant speed of 30m/s in a 50 mph zone, is unaware that he is being…

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Q: On a Displacement –time graph zero slope implies _____________ a. Increasing velocity. b. Constant…

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Q: The equation x(t) = 2.0 − 4.0t2m describes the motion of a particle that moves along the x-axis.…

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Q: The position of a particle between t=0 and t=2 sec is given by x(t)=[3.00 m/(s)^3]t^3 - [10…

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Q: A Saturn V rocket is launched straight up with a constant acceleration of 18 m/s2. After 150 s, how…

A: Given data: The acceleration of rocket is: a = 18 m/s2 The gravity acceleration is: g = 9.81 m/s2…

Q: a particle moves in one dimension, and its position as a function of time is given by x = (1.9m/s)t…

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Q: A car that moves in a linear motion starts to move with an acceleration of 5.6 m / s2, which…

A: initial velocity (u) = 0 msacceleration (a) = 5.6 ms2time for which car is accelerating (t) = 17 s…

Q: A particle is moving in a straight line with acceleration a = 5; f 0≤1≤3 a=-10; 3<t≤ 10 [i] At time…

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Q: A particle moves along the x axis. Its position as a function of time is given by x(t) = 4.5t² +…

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Q: A particle with velocity at any time t given by v (t) = 2e2" moves in a straight line. How far does…

A: We need to find the time interval over which the acceleration occurs. We can do this by solving…

Q: A particle starts at the origin (x = 0) and moves in one dimension. The figure shows the velocity of…

A: Given:

Q: A shopper uses the 55-meter long walkalator that goes at 1.5 m/s from the meat section to the…

A: vw=Velocity of walkalator=1.5 m/svs=Velocity of shopper=1.25 m/ss=Displacement=55 m

Q: s (m) 225 s = 30t – 75/ 75 · s = 3P +1 (s) 10 5

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Q: An object travels non-uniformly along the r-axis. This object's position-versus-time graph is shown…

A: Speed at an instantaneous point is given by the slope of tangent of the curve at that point . We can…

Q: An electron is accelerated from rest to 3.0 × 106 m/s in 5.0 × 10−8 s. What distance does the…

A: Given, Initial velocity of electron u = 0 Final velocity of electron v = 3 x 106 m/s Time t = 5 x…

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.