a 12t?t3 + t, Determine velocity equation and position equation

Q: ight line as a function of time. Determine the magnitude of the total displacement at the end of 8.0…

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Q: en does the object strike the grou h what velocity does the object s what intervals is the speed…

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Q: Represent the following displacements and determine the resultant us8ng the mathematical method.…

A: The three distances are given as, d1=10 km 40o S of Ed2=5 km Wd3=15 km 10o E of N

Q: ne function s(t) describes the positi coordinate line, where s is in feet a t) = t³ – 15t², t > 0 )…

A: Velocity = ds/dt Acceleration =dv/dt

Q: What is the velocity? Distance: 70 cm Time: 0.0250 s

A: The given data are: d=70 cmt=0.0250 s

Q: An object's position in the as a function of time obeys the equation; I (t) = 3t - 2t3 + 1.5t

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Q: What does the slope of a position vs. time tell you?

A: The speed of an object is defined as the ratio of the distance to the time period of motion. The…

Q: If acceleration is a function of displacement, integrate a ds = v dv to obtain the velocity as a…

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Q: An object's position in the as a function of time obeys the equation3B (t) = 3t- 2t3 + 1.5t 2t +…

A: The velocity of the object from the position can be calculated as follows,

Q: Find the average velocity between t = 3.00 s and t = 20.0 s . %D %3D

A: PART A The average velocity is, V=x2-x1t2-t1V=370 m-24.0 m20.0 s-3.00 sV=20.4 m/s

Q: An object is moving in sueh a way that the velocity is changingLonly direetion is chan ging, but…

A: Given : Magnitude of velocity is not changing but direction is changing.

Q: Velocity of a particle changes from (31+ 41) m/s (61 +51) m/s is 2 s. Find magnitude and direction…

A: The average acceleration is defined as the rate of change in the velocity of an object. Here, we…

Q: m in 0.5 Hour. What was her verage speed?

A: GivenDistance travelled by car =10 kmTime taken by car=0.5 hour

Q: A volcano launches a lava bomb straight upward with an initialspeed of 28 m>s. Taking upward to…

A: a) The required speed is,

Q: Displacement is directly proportional to velocity. A.True B.False

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Q: Derive the equation for velocity and acceleration given that position x = v0t + 1/2 at2, where v0and…

A: Velocity function can be derived by differentiating position function with respect to time: vt=dxtdt…

Q: onball is shot with an initial speed of 42 m/s and 37.0° angle with respect to the ground. How long…

A: As we know the formula for time of maximum height is given by  tm =  { Vo sin ( theta) } / g  Where…

Q: A particle moves with position function s = t4 - 4t3 - 8t? + 25t, t20 (a) At what time does the…

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Q: A friend of yours contends that the acceleration of a ball tossed up into the air is positive on the…

A: Given Upward direction is taken to be positive and downward direction is negative  Also acceleration…

Q: What is the displacement for Wylie Coyote if he falls through the air for 5.00 seconds? What was his…

A: Given data The time is t=5.00 s As Wylie Coyote falls, its initial velocity u=0 m/s The displacement…

Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =…

A: The position vector of the body is given as, r(t) = et (cos(t)i + sin(t)j +2tk) Therefore, the…

Q: An object moves at a constant speed of 6 m/s. This means that the object Has a positive acceleration…

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Q: v m/s Velocity - Time graph as es 10 t see

A: NOTE: As per guidelines, I can solve first three parts of the question. If you need help with other…

Q: A particle is shot into the air at a velocity of v, a) What is the initial velocity in m/s? [km]…

A: We know that 1km/hr = 5/18 m/sec

Q: Starting from rest, a particle moving ina straight line has an acceleration of a = (2t – 6) m/s,…

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Q: 4 A motorbike crunes down a straijcht northbonund bighway at a constant velocity of 10 m's for z0.…

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Q: A ship steams at a constant velocity of 30 km/h. (a) How far does it travel in a day? (h) How long…

A: According to guidelines we need to solve only first question kindly repost other question in the…

Q: Derive the equation for velocity and acceleration given that position x = v0t + 1/2 at2, where v0and…

A: Given: From the Question above we know that position x=v0+12at2 where v0 is the initial velocity and…

Q: ne equation + 2 бу a length, vis a velocity ar

A: Given:-  An equation s= at62+kt66v here s is length v is the velocity t is the time  Find:- a) if…

Q: 17. The velocity of a particle moving along the x axis is expressed as: V, = 40 – 5t2. Find the…

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Q: H.W 1: find the displacement for a Car moves from A to B and then to Cand goes back agene to A as in…

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Q: A dog runs in a straight line at a constant velocity of 12.0 m/s for 20.0 seconds.  If the dog’s…

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Q: int Paragraph Styles Editing | Voice c. DIRECTION: Consider the following velocity-time graphs and…

A: In velocity-time graph, the area under the velocity-time curve is the displacement.         Note:…

Q: Karim rides his bike with velocityv= (8.4 m/s, 25° north of east) for 10 minutes. How far to the…

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Q: "The given equation is incorrect. v = a + vot, where a is acceleration, t is time, vo is initial and…

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Q: An object moves along the ry-plane. At some instant, its velocity and acceleration are – (3 m/s) ĵ ,…

A: A. is the correct option.   For an object to move in a straight line the velocity vector and the…

Q: 5. In projectile, is equal for displacement "y" and displacement "x" acceleration velocity time

A: We can resolve the motion of a projectile into two components: i) Horizontal ii) Vertical The…

Q: At what time does the object change directions? (a) 1s (b) 9s (c) 4s

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Q: An object is moving along the a-axis. At t = 0 it has velocity voz = 19.0 m/s. Starting at time t =…

A: Given that:- v0x=19 m/sax=-Ct m/s2C=? m/s3

Q: Calculate the displacement in m and velocity in m/s at the following times for a rock thrown…

A: Given:initial velocity, u = 13.6 m/s in downwards directionacceleration of the rock , a = g = 9.8…

Q: 1s, and every vertical space represents 1m/s. v(t) (m/s), t(s) a. Compute the acceleration at =2s.…

A: concepts will be used are: a. Slope of velocity time curve gives the acceleration. b. Area under…

Q: At what time(s) is the velocity zero? Ot=0-15 s O t= 5 s %3D Ot= 20 s O During two very short times…

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Q: he figure below shows position as a function of time for a moving particle: s (t). What kind of…

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Q: particie along the x-axis so that its coordinate follows the law x(t) =2t^2 +4, where x is in…

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Q: The position of an object as it moves along the x axis is given by x= 10e ^-5t m where t is in s.…

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Q: What is the convertion to the average velocity ( mm / s )

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Q: V m/s Velocity - Time graph a.5 a 25 15 10 t see

A: NOTE: As per guidelines, I can solve the first three parts of the problem. If you need help with…

Q: What displacement do I have if I travel at 10 m/s E for 10 s?

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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.