Let s(t) = t- 7t + 13t, represent the position of a body at any time t. Then the acceleration of the body at t= 5 seconds is 25 15 16 16

Q: • 2. Let S (t) = t3 – 12 t2 + 45 t be the position function. a. What is the velocity when…

A: We have given position function St=t3-12t2+45t Then, velocityv=dsdt=3t2-24t+45 And acceleration…

Q: The position of a particle at time t is given by p(t)=7t^2.3-5t^1.2. Find the particle's…

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Q: A particle moves along the x-axis with acceleration at any given time t as a(t) = 3t+4t+6,jf the…

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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: Q-2- A Particle moves in a straight line so that after t sec. it is Sm. from a fixed Point O on the…

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Q: A particle starts from rest and moves in a straight line such that the acceleration, a, in m/s2 ? =…

A: To find: The instantaneous velocity at t=2. Given: The acceleration of particle is a=12t2-24t+8.…

Q: Let p(t) = sec(3t) represent the position of an object at time t, where 0 < t < 1/9. Find the…

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Q: An object with an initial velocity of v(0) = 5 has an acceleration of a(t) = t² - 5. What is its…

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

Q: If the position of an object is s(t) = 16 + 10.5t – 4.9t meters from zero in t seconds, then what is…

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Q: A particle moves with position function s = t4 – 4t3 20t2 + 20t, t > 0 - (a) At what time does the…

A: Given problem:- A particle moves with position function   S=t4 -4t³ - 20t² + 20t, t≥ 0   (a) At what…

Q: The acceleration function of a particle moving along a line is given by: a(t) = 4t – 2 in m/s² and…

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Q: a particle moves according to the function s(t)= t^2 - 2t +5,  what is the instantaneous velocity of…

A: A particle moves according to the function s(t)=t2-2t+5

Q: Suppose that a particle moving along the x-axis encounters a resisting force that results in an…

A: Definition used -                   v=∫adts=∫vdt

Q: The acceleration function of a particle moving along a line is given by: a ( t ) = 2 t + 3 in m / s…

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Q: a particle moves along the x-axis so that its velocity at time t is give. by…

A: The formula for the quotient rule of differentiation is given by . The acceleration of an object is…

Q: The motion of the particle is given by the equation v (t) = 2.00 t² – 3.20 t³ . What is the average…

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Q: If the position of a moving particle at any time 't' is defined by s(t) 3t-9t,0<t<6. The…

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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: Let v(t) = -13t + t² be the velocity, in ft/sec, of an object at time t, in seconds. a) What is the…

A: Given velocity function, v(t)= -13t + t²

Q: position of a moving object is s (t) = 1³ – 31² - 45t-1. What is its acceleration at t=2?

A: Given query is to find the acceleration at indicated point.

Q: The position of a particle moving along a straight line is given by s(t) : 1 du. The acceleration at…

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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: A particle is moving with acceleration a(t)=12·t+3. At time t=0, its position is s(0)=7 and its…

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Q: A particle is moving with acceleration a(t)=24t +14. Its position at time t=0 s(0)=11 and its…

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Q: t)=2t^2 +6t-5 is the velocity of an object over time what is the acceleration of the object at t=2

A: Given query is to find the acceleration of the object.

Q: At time t sec, the positions of two particles on a coordinate line are s1 = 3t3 - 12t2 + 18t + 5 m…

A: To find velocity we have to differentiate the distance s with respect to t.

Q: A particle starts from rest and moves in a straight line such that the acceleration, a, in m/s^2 is…

A:

Q: Let s(t) = t - 4t2 + 15t, represent the position of a body at any time t. Then the acceleration of…

A:

Q: A particle moves along the x-axis according to the equation x = 5.00 + 7.00t –2.00t^2, where x is in…

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Q: A particle moves in a straight line with acceleration a(t) = 3t2 + et, initial velocity v(0) = 4

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Q: 8. The acceleration of a particle moving along x-axis at time t is defined by a=4t-12. At t=0, the…

A: Given: The acceleration of a particle moving along x‐axis at time t is defined by a=4t-12. At t=0,…

Q: At time t 2 0, the velocity of a body moving along the s-axis is v=t2-7t+6. When is the body moving…

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Q: A particle moves along the x-axis so that at time t >0 its position is given by x (t) =t² – 10t +…

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Q: If the position of a moving particle at any time t' is defined by s(t) = t - 2t2 + 13. Then the…

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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: A particle is moving according to the given acceleration function a(t) = 12t2 + 6t − 6. If s(0) = 4,…

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Q: 7. A particle starts from rest and moves in a straight line such that the acceleration, a, in m/s²…

A: Given a particle starts from rest and moving along straight line has acceleration a is given as:…

Q: An object with an initial velocity of v(1) = 2 has an acceleration of a(t ) = %3D ( 2t – 1) What is…

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Q: 3. The position of a particle travelling along a horizontal line in t seconds is s(t) = 2t° – 15t –…

A: Velocity and acceleration from displacement function of time t

Q: Q-1-At time t, the position of a body moving along the s - axis is t4 9. S = - 2t3 2t3 +t2 + 5t -- 4…

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

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: A particle moves on the 0x axis with acceleration proportional to velocity. Assuming that v(0) = 3,…

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Q: A particle moves along the x-axis so that at any time t ≥ 0 its velocity is given by…

A: Given: v(t)=t2ln(t+2)we know that acceleration of particle is differentiation of velocity of…

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: 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…

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

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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…

Exponential Growth Model

The relation that represents an exponential function is: