The position of a particle for t > 0 is given by r(t) = (2.ot²i – 4.0t³j – 3.0t-2k) m.

Q: A rugby player passes the ball 7.00 m across the field, where it is caught at the same height as it…

A: Given:Range (R) = 7.0 mInitial speed of ball (v) = 12.0 m/s

Q: Mr. McQueen travels 4.55 * 10 ^ 2 meters due East and then 3.33 * 10 ^ 2 meters due South () What is…

A:

Q: The velocity v→ of a particle moving in the xy plane is given by v→=(5.1t-4.3t2)î+8ĵ, with v→ in…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: An object moves on a horizontal coordinate line. Its directed distance s from the origin at the end…

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Q: A man walks 1.80 km north and then 2.00 km west, all in 3.40 hours. (a) What is the magnitude (in…

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Q: An object moves with constant acceleration 4.00m/s2 and over a time interval reaches a final…

A: Given: The constant acceleration: a= 4.00 m/s2 Final velocity vf=12.0 m/s

Q: You drive on Interstate 10 from San Antonio to Houston, half the time at 55 km/h and the other half…

A: (a) Average speed from San Antonio to Houston

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 girl delivering newspapers covers her route by travel- ing 3.00 blocks west, 4.00 blocks north,…

A:

Q: GP A speedboat increases its speed uniformly from v, = 20.0 m/s to v,= 30.0 m/s in a distance of…

A: Given,vo = 20 m/sVf=30 m/sx= 200 m

Q: You rode a roller coaster with a total path length of 250 meters. After 3 rides, how much is your…

A: Displacement = it is the shortest distance between initial and final points.

Q: A fish swimming in a horizontal plane has velocity given by v i j i = 4ˆ + ˆ  m/s at a point in…

A: Consider a fish swimming in a horizontal plane with an initial velocity, vi and at some point in the…

Q: A girl delivering newspapers covers her route by traveling 8.00 blocks west, 4.00 blocks north, and…

A:

Q: An object's position in a given coordinate system is described by the vector r = t2 i - (3t + 3) j.…

A: The position of the object is given by,

Q: In a cartoon program, Peter tosses his baby, Stewie, up into the air to keep the child entertained.…

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Q: PART A info card The acceleration of a particle is a constant. At t = 0 the velocity of the particle…

A: Given that, at t=0 intial velocity u=10i^+20j^m/s  at t=4s v=10j^m/s. Accleration a=v-u/t…

Q: Between t = 0 and t= to, a rocket moves straight upward with an acceleration given by a(t) = A –…

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Q: fish swimming in a horizontal plane has velocity vi (4.00i +1.00j) m/s at a point in the ocean…

A: Model of the fish as a particle under constant acceleration. Lets assume that x and y be the…

Q: The record distance in the sport of throwing cowpats is81.1 m. This record toss was set by Steve…

A: (a)The range of projectile,

Q: A box slides across a frictionless horizontal surface with constant acceleration 3.60 m/s and over a…

A: Given acceleration a=3.60 m/s2Final velocity v=13.4 m/s

Q: A speedboat increases its speed uniformly from vi = 20.0 m/s to vf = 30.0 m/s in a distance of 2.00…

A: As per the company policy, first three subparts will only be answered here. Please post the rest…

Q: The velocity v of a particle moving in the xy plane is given by v (5.9t – 4.6t2 )i + 8.3j, with v in…

A: Since both questions are different, as per bartleby guidelines we can author only 1st one. Please…

Q: An object moves with an initial velocity  vi = 2.80 m/s  and an acceleration  a = 2.20 m/s2.…

A: From the question, it is given that- Initial speed: vi = 2.80 m/s Acceleration: a = 2.20 m/s2…

Q: A particle undergoes a constant acceleration of 4.40 m/s?. After a certain amount of time, its…

A: Data Given ,  Acceleration ( a ) = 4.40 m/s2  Final velocity ( v ) = 11.6 m/s

Q: Review | Constants The velocity of a particle constrained to move along the x-axis as a function of…

A: We are supposed to answer only three sub-parts of the question at a time. First three subparts are…

Q: (c) Find the acceleration vector ā(t). What direction does the acceleration vector point in? Hint:…

A: Given: Radius of the circle is r = 10 cm centered at origin (0, 0) and the linear velocity of the…

Q: A ball is thrown vertically upward from the ground with a speed of 36.0 m/s. Suppose the…

A: Given data The speed of the ball, when thrown vertically upward, is u = 36 m/s The acceleration due…

Q: 1. A particle starts from the origin at t 0 with a velocity of (16.0i – 12.0j) m/s and moves in the…

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Q: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: |Part (c) Enter an expression for the velocity vector v(t), in meters per second, of the coconut as…

A: Given: V0 = 7.73m/s m = 10.7kg h = 21.9m Question: Find the expression for the velocity v(t).

Q: Bryan Allen pedaled a human-powered aircraft across the English Channel from the cliffs of Dover to…

A: a) The expression for displacement is d=vt Substitute values in the above equation  d=3.53ms169…

Q: A fish swimming  in horizontal plane has velocity vi=(4i+j)m/s at a point in the ocean where the…

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Q: In an effort to create a cannonball-style splash, eight-year old Matthew runs off the edge of the…

A:

Q: During a relay race, you run the first leg of the race, a distance of 1.8 x 104 m to the north, in…

A: Given: distance travelled for the first leg of the relay race d1 = 1.8*102 m (towards north) time…

Q: 2.15 • CALC A turtle crawls along a straight line, which we will call the x-axis with the positive…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A ball is projected with an initial upward velocity component of 80 ft/sec and a horizontal velocity…

A: Apologies. We only answer three parts of the question at a time. we will answer the first three…

Q: The movement of an object in the zy-plane is described by the position function: r(t) = #(t)i +…

A: Introduction: The rate of change of position is called velocity, it has both a magnitude and a…

Q: A particle moves along the positive x axis with a constant acceleration of 2.70 m/s? and over time…

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Q: Give all a, b and c right solutions. A bullet was fired at a certain point A at an angle of 90 o…

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Q: A girl delivering newspapers covers her route by traveling 3.00 blocks west, 4.00 blocks north, and…

A: Given data *The girl delivers the newspaper towards the west is AB = 3.00 block *The girl delivers…

Q: A girl delivering newspapers covers her route by travel- ing 3.00 blocks west, 4.00 blocks north,…

A:

Q: A daring ranch hand sitting on a tree wishes to drop vertically onto a horse galloping under the…

A: Draw the motion diagram for two bodies given in problem.

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.