Determine the velocity and acceleration of progress with the given equation: t2 D = t +1 When t=5 seconds.

Q: the velocity equation in Motion with a Constant Acceleration is O v= Ax/At V=V0 + at O V=dx/dt

A: Here, we have constant acceleration and we have to find the equation for the constant acceleration.…

Q: A rider on horseback moves according to the velocity vs. time graph shown. Find the displacement of…

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Q: If you are undergoing constant acceleration, which of the following may be true? OA Your average…

A: The equation of motion is given by, X1=ut1+12×at21 X2=ut2+12×at22 The average velocity is given by,…

Q: A hot-air balloon is descending at a rate of 5 m/s at a height of 500 m above the ground when a…

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Q: The equations of kinematics, which are given in the table Table 2.4 Equations for Motion in a…

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Q: A tennis player moves in a straight-line path as shown in the figure attached. Find her average…

A: Given: The initial time is t=0 s. The final time is t'=1 s.   (a) In the x-t graph it is clear…

Q: : An Olympic class sprinter starts a race from rest with an acceleration of 4.7 m/s. Take her…

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Q: Which of the following is the velocity graph for a negative initial velocity and a positive…

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Q: An object has an instantaneous acceleration of a(t) =(t^2) m/s^2. At t=3 s, find it's position.

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Q: A car starting from an initial velocity of 8.0 m/s [E] accelerates at a rate of 2.5 m/s² [E] for…

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Q: If an object has an acceleration of -2.50m/s^2 and it’s initially moving at 3.0m/s find its velocity…

A: u=3 m/sa=-2.50 m/s2v=?t=0.5 s and 2 s

Q: Show that for motion in a straight line with constant acceleration a, initial velocity  v0, and…

A: The acceleration is given as, a(t)=a Taking integral of above equation, v(t)=at+vo

Q: A particle moves along a straight line such that its acceleration is a = (4t? - 2) m/s, where t is…

A: Given : Acceleration (a) is (4t² - 2) m/s²

Q: A particle travels along a straight line with a constant acceleration. When s = 4 ft, v= 3 ft/s and…

A: Here, Given that: v0=3 ft/s v=8 ft/s s=10 ft  s0= 4 ft

Q: a = s² is relation between particle acceleration(a) and its distance(s) along a straight line.…

A: Given, a = 12s2 where, 'a' is acceleration and S is distance. Velocity at time 't' is v = dsdt and…

Q: A particle travels along a straight line with a velocity (15t – 9t²) m/s , where t is in seconds.…

A: Given:velocity equation, v = 15 t - 9t2  m/stime t values are, 3 s to 4 s

Q: The acceleration of a particle as it moves along a straight line is given by a = (2t - 1) m/s²,…

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Q: The position of a car is given by x(t) = (2m/s) – (1m/s^3) t^3 What is its velocity at t = 2s?

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Q: Given acceleration a(s) = 2+ 7cos(s) m/s² where initial position is 0 and initial velocity is 2 m/s,…

A: as=2+7coss msec2At s=0 vi= 2 msecAnd at s=4π m v=?

Q: Given that a particle with a constant acceleration of 9 m/s? for 6 seconds and a starting velocity…

A: Given that, Acceleration of the particle, a = 9 m/s2 Time, t = 6 s Initial velocity of the particle,…

Q: The position of a particle which moves along a straight line is defined by the relation x = t3 - 6t2…

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Q: I am confused on the formula for Average velocity I believe I got it right I’m just trying to be…

A: The equation for the average velocity is given by,

Q: Calculate the displacement and velocity at times of (a) 0.500, (b) 1.00s, (c) 1.50s, and (d) 2.00s…

A: Initial velocity (u) = 15 m/s g = 9.8 m/s2 (in downwards direction)

Q: An item on a straight line has a displacement s and time t  of:  s= -6t^6 - 4t^4 + 2  What is the…

A: An item on a straight line has a displacement s and time t  is s=-6t6-4t4+2

Q: The position of a car is given by: x(t)=(2m/s)t - (1m/s^3)t^3. Find the velocity at t=2s.

A: The given expression for the position of the car is,

Q: In a 100-m race, the winner is timed at 11.2 s. The second-place finisher’s time is 11.6 s. How far…

A: The velocity of the runner 1,   The velocity of the runner 2,

Q: 2. Given the Velocity-Time graph of an object moving in straight line. Find the average speed and…

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Q: "The acceleration of a particle moving along a straight line is a= -0.2v2 m/s2, where v is in m/s.…

A: Given acceleration a = -0.2v2m/s2 Initial velocity v = 80m/s at time t=2 sec we have to determine…

Q: The acceleration of a particle as it moves along a straight line is given by a = (2t - 1) m/s² ,…

A: Write the expression of acceleration of a particle.   a=2t-1   m/s2

Q: A particle moves on a straight line and has acceleration a(t)=36t+2. Its position at time t=0 is…

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Q: Sketch a graph of position as a function of time for an object that is slowing down and has positive…

A: When the object slows down then its velocity have negative slop. The position time graph is as…

Q: The acceleration of a particle as it moves along a straight line is given by a = (2t - 1) m/s? ,…

A: Write the expression of acceleration of particle.   a=2t-1d2xdt2=2t-1

Q: The position of a car at any given time is provided by the function x(t)=(2m/s)t - (1m/s^3)t^3.…

A: Given position of the carx=2t-1t3t=2s

Q: The position of an object moving in a straight path is given by s(t)=5t−1 What is the…

A: The instantaneous velocity is given by, v(t)=ds(t)dt Where, s(t) is position at time t.

Q: For the following motion equation s=2t^3 -15t^2+36t-22, t ⩾ 0 a. Find the average velocity and…

A: The equation is S = 2t3 - 15t2 + 36t - 22 , t>=0 At t1 = 2s S1 = 2(23) - 15(22) + 36(2) - 22 = 6m…

Q: The velocity of a particle traveling along a straight line is v = (3t^2 - 6t) ft/s, where t is in…

A: Given: The velocity of the particle along the straight line = 3t2-6t ft/s

Q: The position of a particle moving in a straight line is given by s=t3−3t2 feet after t seconds. Find…

A: The displacement of the particle,

Q: Calculate the displacement and velocity at times of (a) 0.500, (b) 1.00s, (c) 1.50s, and (d) 2.00s…

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Q: For the figure shown, determine the following: a. the acceleration( m/s2) of the particle at time…

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Q: An object moves along a straight line so that at any time t the acceleration is given by a (t) = 6t.…

A: Solution:Let the point be…

Q: If a car has a velocity given by v(t) = 2 t + 2 find the distance it travels in 10 s if it was at…

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Q: The acceleration of a particle as it moves along a straight line is given by a = (2t - 1) m/s^2 ,…

A: Given :             acceleration of a particle a = (2t - 1)m/s2                 Initial s = 1m…

Q: Given data: Initial velocity=8 m/s Final velocity=10 m/s Time=2 s Determine acceleration

A: Given data : Time=t Initial velocity=U Final velocity=V   To find : Acceleration

Q: A particle is initially traveling east at 5 m/s , then it begins to have an acceleration of 10 m/s2…

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Q: An airplane flying 60 m/s is accelerated uniformly at the rate of 0.5 m/s^2. What is its velocity at…

A: Given: Initial speed (u) = 60m/s            acceleration (a) = 0.5m/s2            time taken (t) =…

Q: sketch a graph of velocity vs time for the 12 second time interval An object starts at x = 0 with…

A: Given- An object starts at x = 0 with an initial velocity of -2 m/s and moves in astraight line…

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.