A particle moves along a line for t 2 0. The acceleration of the particle is given by the function a(t) t and v(0) = 9. Find the velocity at t = 4.

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Q: The movement of a particle from time t=0 to t=9 is given by the equation s(t)=−5t2−5t−10. What is…

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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…

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Concept: The acceleration is given by the derivative of the velocity  That is a(t)=dv(t)dt Thus…

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Q: A particle moving along the x-axis has position function p(t)=−t^3+t^2+2t+1. Find the acceleration…

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A: solve the following

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A: Givenx(t)=t3-6t+9t     0≤t≤5

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

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Q: The movement of a particle from time t=0 to t=4 is given by the equation s(t)=−5t2−10t−6. What is…

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Q: A particle moves in a straight line and has acceleration given by a(t)=12t+2. Its position at time…

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Q: The position function of a particle is given by s(t) = 3t2 - t°, t 2 0. (a) When does the particle…

A: This question is based on derivative application.

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Q: A particle is moving with acceleration a(t) = 18t + 10. its position at time t = 0 is s(0) = 11 and…

A: Given :                 at=18t +10at t=0 is  s0 = 11at t=0 is v0 =11 To find : Position at time t=6…

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A: Given query is to find the derivative of the expression.

Q: Suppose an object is moving along a line, and its acceleration at time t is given by a(t) = 3t – 6,…

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Q: A particle is moving with acceleration a(t)=30t +18. Its position at time t=0 s(0)=11 and its…

A: Explanation of the answer is as follows

Q: Let v(t) = t2 – 10t be the velocity, in ft/sec, of an object at time t, in seconds. a) What is the…

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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: Q 10 Show that for motion in a straight line with constant acceleration a, initial velocity vo , and…

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Q: 1. A particle moves along the x-axis according to the equation x=2r+3F, where x is in m and is in…

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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 function of a particle is given by s (t)= 3t2-t3, t greater than or equal to 0. a.…

A: The position function of a particle is s(t)=3t2-t3, t≥0

Q: Q2: If a body is moving along the coordinate line with velocity of: v(t) = sin(nt) 1-The position of…

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Q: If the velocity function v(t) of an object is at its maximum, then the value of a(t), its…

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Q: A particle moves along the x-axis in such a way that its acceleration at time t for t ≥ 0 is given…

A: A particle moves along the x-axis in such a way that its acceleration at time t for t ≥ 0 is given…