A particle moves along a coordinate axis. Its position at time tis given by s(t) = t – 9t² + 24t + t, t > 0. What is the acceleration of the particle at t = 3?

Q: A particle is moving with acceleration a ( t ) = 30t + 16 . its position at time t = 0 is s ( 0 ) =…

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Q: 2. If the acceleration function of a certain particle is given by a(t) the velocity function…

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Q: the above equation numerically, you need to approximate the second and first orde d21 dl and dt'…

A: Given:   Ld2 Id t2+RdIdt+1c I =E(t) L= 1H R =10Ω c=0.0025 F E(t)=-0.08 cos 2.5t and ∆t=0.01 s The…

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Q: A particle moves along a coordinate line in such a way that its velocity at any time t is given by…

A: We have, a particle moves along a co-ordinate line in such a way that its velocity at any time t is…

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A: Given Data: Interval: 0≤t≤3 Velocity: v(t)=t3-3t2+12t+4 The acceleration can be obtained by…

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A: We have, r=a sin2θ .....................................................(1) Differentiating w.r.t.…

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Q: An object experiences acceleration as given by: a(t) = e3t – 2, v(0) = 1 and y(0) = 3 %3D Determine…

A: We can solve this question and find the value of displacement and velocity as below

Q: Two particles have positions at time t given by s =4t-t^2 and s=5^2-t^3. Find the velocities v1 and…

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Q: A particle is moving with acceleration a(t)=6t+2. its position at time t=0 is s(0)=17 and its…

A: Acceleration function of moving particle is Integrating both sides, we get Now, by using condition…

Q: A particle is moving with acceleration a(t) = 6t + 16. its position at time t = velocity at time t =…

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Q: A particle is moving with acceleration a(t) = 24t + 14. its position at time t = 0 is s(0) = 10 and…

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Q: A particle is moving with acceleration a(t) 24t+12. its position at time t = 0 is 8(0) = 13 and its…

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Q: A particle is moving with acceleration a(t) = 36t + 18. its position at time t = 0 is s(0) = 1 and…

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Q: 2. A plane travels 560 km from Los Angeles to San Francisco in 1 hour (h). If the plane's velocity…

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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) = 18t + 4. its position at time t = 0 is s(0) = 5 and…

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Q: A particle is moving with acceleration a(t) = 36t + 2. its position at time t = 0 is s(0) = 2 and…

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A: Topic = Algebra

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 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: 2. A particle moves with position s = t* – 4t3 – 201² + 20t when t >0. At what time does the…

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A: We will be using the fact that rate of change in distance is called velocity. v(t)=dsdt

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Q: A particle moves along a straight line with equation of motion s = t – 1tª Find the value of t…

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: A particle is moving with acceleration a(t) = 30t + 16. its position at time t=0 is s(0) = 2 and its…

A: Given acceleration a(t)=30t+16. The position at time t = 0, s(0) = 2  The velocity at time t = 0,…

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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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: Find the position of the particle at time t=4. Is the particle moving toward the origin or away from…

A: If the velocity function is given then by integration we will calculate the position of the particle…

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: Sove the differential equathons (x+ 2y -1) dx-(2x+y-5) dy =

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Q: A ball is thrown upward from a height of 1.5 m at an initial speed of 45 m/sec. Acceleration…

A: Given that the initial speed=v0=45Initial height=h0=1.5Acceleration=a=-9.8So using the relation…

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A: Topic:- Basic maths

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