The position of a body moving on a coordinate line is given by s = t2 – 4t – 3 for 0

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t…

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Q: Find the coordinates at times t = 0, 2, 4 of a particle followingthe path x = 1 + t 3, y = 9 − 3t 2.

A: We need to find the coordinates at times t = 0, 2, 4 of a particle followingthe path x = 1 + t 3, y…

Q: T(E) = N= T'(4) Evoluate (t) NG) for t=L,

A: First we find r'(t) then put t=1

Q: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) = and the initial…

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Q: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) = and the initial…

A: Givena(t) = <3,9t,et>

Q: The position of a particle moving along a straight line is given by s =t3-9t2+24t, where s is…

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Q: Can i get help step by step

A: Given velocity function is  Integrating both sides , we get

Q: A pole of length L is carried horizontally around a corner where a 3-ft-wide hallway meets a…

A: Given: Pole of length (L): (x+(L-x))

Q: Given the velocity and initial position of a body moving along a coordinate line at time t, find the…

A: See attached file for a step by step explanation.

Q: If s(t) =t ––t² +2t – 5 represents the position of a yo-yo off the ground then when %D would the…

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Q: (a) For the solution that satisfies y(0) = 0, sketch the solution curve and estimate the following:…

A: (a) The solution curve with the direction field that satisfies the initial solution y0=0 is as…

Q: The position of a moving particle is given by s = t - 8t + 15, then its speed at t = 8 is

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Q: Find the position function of a particle moving along a coordinate line that satisfies the given…

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Q: A particle moves on the x-axis with velocity given by v(t) = 3t4 − 11t2 + 9t − 2 for −3 ≤ t ≤ 3 .…

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Q: The position of the particle at time t is given by s(t) = t² – 6t + 8. The particle is moving from…

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Q: Find the length of the curve. V2ti + e'j + e-tk, 0 <t < 7

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Q: - The position of an object moving on a line is given by s(t) = 6t2 – t°, t > 0,

A: Solve

Q: The position function of an object is given by s(t) = -t + 2t. For t > 0 and s(t) = 0m, the velocity…

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Q: The position of the particle at time t is given by s(t) = t² – 8t + 15. %3D The particle is moving…

A: Concept used particle will move fromleft to right when velocitydvdtbecome positive.dsdt&gt;0

Q: A particle moves along the x-axis with its position measured relative to the origin and has an…

A: To find: The velocity and position after t=1 second: Given: The acceleration of the body is at=6t+4…

Q: Given the velocity and initial position of a body moving along a coordinate line at time t, find the…

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Q: A particle is moving with the given data a(t)= 3e^2t -2 cost, s(0)=0 and v(0)=0, find the position…

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Q: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) =, and the initial…

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Q: A particle moves along the x-axis with velocity given by v(t)=3t^2-6tv(t)=3t2−6t for time t\ge…

A: Answer and explanation is given below..

Q: Suppose that the position of a particle moving along a straight line is given by s(t) = at +bt + c…

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Q: Find the length of the curve. r(t)=(8t,t^2,(1/12)t^3),0 (less than or equal to) t (less than or…

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Q: A particle is moving along a straight line so that v ft/sec is the velocity of the particle at t…

A: Given v=t+3t2+3t+2. The objective is to find the distance traveled by the particle from the time…

Q: The position of a particle moving along the x - axis at time t is given by x(t) = ecos2t, 0<ts . For…

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Q: - The position of an object moving on a line is given by s(t) = 6t2 – t°, t> 0,

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Q: Find the coordinates of the point(s) on the curve 2y = 10 – a² that are closest to the origin. а) О…

A: Given that

Q: At time t, the position of a body moving alongthe s-axis is s = t3 - 6t2 + 9t m. Find the total…

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Q: An insect is moving on the surface of a hot plate, the temperature of which at the point x units to…

A: Definition used-   To keep the temperature constant, the insect has to move in a direction that is…

Q: Find the coordinates at times t = 0, 2, 4 of a particle following the path x = 1 + t3, y = 9 − 3t2.

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Q: The position of a body moving along s-axis at any time 't' is given by s(t) = 16t3 – 12t, - then the…

A: We will find out the required value.

Q: Find the values of dz/ôx and az/ðy at the points 31. z - xy + yz + y -2 = 0, (1, 1, 1)

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Q: Solve the following problem by using the KKT conditions P : Min er²+y² s.t. 2x – y = 4.

A: To find - Solve the following problem by using the KKT conditions                  P : Min ex2 +…

Q: An element is moving along a straight line so that v ft/sec is the velocity of the particle at t…

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Q: H.W/ A/ Find e* dr approximately using the Trapezoidal rule with n 10.

A: Given integration is ∫13ex2dx here a=1, b=3 and n=10 It means [1,3] is divided into 10 subinterval.…

Q: For numbers 7 and 8. Let v(t) =t2 – 2t – 5 be the velocity function for a particle moving along a…

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Q: A particle is moving in a straight line with the velocity v(t) =1-t,0<t< 3. Compute the distance…

A: We have V=1-t⇒dxdt=1-t∫0△xdx=∫(1-t)dt

Q: If position is given by p(t)=-t^2+5t what is the velocity v(t) at t=2?

A: The position is p(t)=-t2+5t

Q: Given the velocity and initial position of a body moving along a coordinate line at time t, find the…

A: Given velocity function  v = -6t + 5

Q: The position of the particle at time t is given by s(t) = t2 – 24t + 63. The particle is rest at t =…

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Q: A particle moving on a line is at position x(t)=t3−9t2+24t−5 at time t where t is in seconds. At…

A: The given function for position of an object is where t is the time in seconds. Now, to find points…

Q: Let v(t) = -14t + t² be the velocity, in ft/sec, of an object at time t, in %3D seconds. a) What is…

A: Solution is given below:

Q: The position of a particle on the x-axis is given by r(t) = t²-4t+3. At what time is the particle's…

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Q: The position of a body moving along s-axis at any time 't is given by s(t) = 16t - 12t, then the…

A: The position of a body s(t)=16t3-12t

Q: A particle moves in a straight line with velocity v(t)=t2 How far does the particle move between…

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