If v(t) = 4t + 3t – 1 is the velocity of an object over time, what is the acceleration of the object at t = 2? O 21 m/s? O 19 m/s? O 13 m/s? O 2 m/s?

Q: (2) From assumption (c), the velocity (v) at time (t) of the water droplet is 3. v' + t+ro If the…

A: This is a linear differential equation which have to be solved using integrating factor

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Q: The position of a particle moving along the x-axis is given by 4 37 x(t) = (t – 1)* +(t – 1)³ – 12(t…

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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: (a) The function representing the position is  X(t)=t3-15t2+48t. To find the position of the…

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

A: Givena(t) = &lt;3,9t,et&gt;

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A: Write this equation in standard form then diffrenciate.

Q: The acceleration of a particle at time t is given by a(t) = 4e2t¸ If the initial velocity was 5, and…

A: We will use integration to first find the velocity and then integrate velocity function to find…

Q: Suppose that a particle moves along a straight line with velocity v(t)=4−2t, where 0≤t≤2 (in meters…

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A: use simple velocity,acceration,and distance formula.

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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: A particle moves along the x-axis with velocity given by v(t) = 6t² + 4t + 14 for time t > 0. If the…

A: Convert velocity into distance and time

Q: If x cos t and y sin? t, then d'y/dx at t is If s 10 t+ 80/t, find the acceleration when t 2.

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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: 3. If the temperature in a room is given by T(x, y, z) = xyz, at what rate will the temperature felt…

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

A: In this question we will use basic concepts of calculus i.e concept of integration. We will use the…

Q: 9. The velocity, in kilometers per hour, of a car as it beings to slow down is given by the equation…

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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: A skydiver’s vertical velocity is governed by m(dv/dt)=mg-k(V^2) where, ? is the mass of the…

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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: 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.

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

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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…

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Q: please answer the same way above the former one. a) What is the velocity of the particle at t = 2.8…

A: Answer of (a) as follows :

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

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 5 – 4t, where 0<t< 2 (in…

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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 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: 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: 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: 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: 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…

Q: If the position of a particle of mass m at time t seconds is given by 7= (r +1)i- 2j + ik, which of…

A: The position vector of the particle is given by, r→=t2+1i−2tj+t2k

Q: An object with an initial velocity of 40 m/s undergoes an acceleration of a(t) = 12t – 10 m/s“, t…

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Q: I need help with this homework problem

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

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Q: 1 = x1+2y v= xt - yt w = 0 Given: What is the acceleration at a point x=1 m, y=2 m, and at a time…

A: Acceleration of particle at any point is equals to rate of change of velocity with respect to time…

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: A particle is moving with acceleration a(t) = 30t + 10. its position at time t = 0 is s(0) = 13 and…

A: To find out the position of the particle at t=3

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: 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…