A particle travels along the x-axis such t s = 41 – 2t + 5 where s represents its displacemen meters from the origin t seconds after the observatic began. Calculate the acceleration of the particle afte seconds. Select the correct response: 24 m/s² 72 m/s2 12 m/s² 106 m/s²

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Q: A particle moves with position function s(t) = t – 4t³-20t?+20t where t > 0. At what time does the…

A: This question is based on application of Derivative.

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A: Given: Velocity: vt=-t2i+2t2j+t2k. Then, v't=-2t i+4t j+2t k Find the normal component of the…

Q: 4. The function a(t) = 3t² – 20t + 27 describe the acceleration of a particle moving along a line.…

A: Given that: Acceleration function, a(t)=3t2-20t+27

Q: If v(t) = 4t + 3t – 1 is the velocity of an object over time, what is the acceleration of the object…

A: Note: As per the company guidelines we can solve only 1st question please repost the 2nd question…

Q: A particle moves along a coordinate axis. Its position at time tis given by s(t) = t – 9t² + 24t +…

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Q: Use the given acceleration function and initial conditions to find the position at time t = 1. a(t)…

A: (9)

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Q: The time of oscillation, 1, of a pen- dulum is given by t 27 1. wherel is the length %3D of the…

A: Write this equation in standard form then diffrenciate.

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Q: The position of a moving particle is given by s(t) = 2t2 – 18t on 2 <t< 9 where 's' is in meters and…

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Q: - particle's position for t > 0 is given by s (t) = 2t³ + 2t² – 5t +2. What s the acceleration at t…

A: Given query is to find the acceleration ate t= 1.

Q: Given the acceleration a=d^2s/dt^ 2​, initial​ velocity, and initial position of a body moving on a…

A: Given :- a=-81sin9t, v(0)=9,  s(0)=-7 Here, a is accelerationdvdt, v is velocity dsdt and s is…

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Q: A particle moves along the x-axis with an acceleration given by a(t) = 7t + 8, where t is measured…

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Q: In the given question , consider a particle moving along the x-axis, where x (t) is the position of…

A: Givenx(t)=t3-6t+9t     0≤t≤5

Q: 3. Use the given acceleration function to find the velocity and position functions, and then find…

A: The given vectors are: a(t)→=i^+2j^+k^v(0)→=2j^r(0)→=i^   The relations between position, velocity…

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Q: The position of a moving particle is given by s = 3t3 + 9, then its acceleration at t = 7 is O 27 O…

A: We will solve the following using derivative.

Q: along the x-axis so that at time t 2 0, the acceleration of the particle is a(t) = 15Vr. ticle is 10…

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Q: Determine the position function if the acceleration function is a(t) = 3 sint + 1, the initial %3D…

A: We have acceleration  a(t) = 3sint+1

Q: A particle travels along the x-axis such that s = 41-2t + 5 where s represents its displacement in…

A: we have to solve the problem

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

A: Let the acceleration a(t) = a, constant.Take integral on both sides to get velocity equation,

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Q: If s(t) = 2t3 – 3t2 – 12t + 8represents the - position of a particle travelling along horizontal…

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Q: A particle moves along a coordinate axis. Its position at time tis given by s(t) = t³ – 9t2 + 24t +…

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Q: A ball is thrown upward from a height of 1.5 m at an initial speed of 25 m/sec. Acceleration…

A: g = -9.8 m/s2 v0 = 25 m/s h0 = 1.5 m   h(t) = -(g/2)t2 + v0t + h0 h(t) = -4.9 t2 + 25 t + 1.5…

Q: If the velocity is given by : (-t^2 i + 2t^2 j+ t^2 k) then the normal component of the acceleration…

A:

Q: If v(t) = 2t + 1, the velocity of an object over time, what is the acceleration of the object at t =…

A: As per our guideline we are allowed to answer only question. Kindly repost the other question as the…

Q: 3. If s(t) = 3f³ -1812+5, 0<1<3 gives the position of a moving particle, find the velocity and…

A: Here given position function s(t)= 3t3-18t2+5

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Q: I need help with this homework problem

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Q: Determine the position function if the acceleration function is a(t) = 6sin t+5, the initial…

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Q: Suppose that the position of a particle is given by s=f(t)=5t^3+4t+9.  Find the velocity at time t,…

A: Given, Position of a particle s=f(t)=5t3+4t+9

Q: Q2. Let a(t) = 2j + 6tk be the acceleration of a particle at time t. If r(0) = −2i+j and v(0) = i,…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: Use the function that describes the acceleration of an object that is in motion and the initial…

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Q: Q2. A particle moves along a straight line so that after t (seconds), its distance from Oa S = t³ –…

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Q: Suppose that the position of a particle is given by s=f(t)=3t3+5t+9s=f(t)=3t3+5t+9. c) Find the…

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Q: If the position of a moving particle at any time 't' is defined by s(t) = 4t3 - 12t, 0 <t<6. The…

A: Given: st=4t3-12t, 0≤t≤6 We know that velocityvt and accelerationat function for given position…