A Ferrari's position at time t is given by s(t) = t3 - 9t2 + 24t 3) Find the acceleration, a(t), of the Ferrari at time

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A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A particle moves along the x-axis so that at timet >0 its position is given by x(t) = 3t3 - 9t? –…

A: Given that x(t)=3t3-9t2-72t. We need to determine all the intervals when the acceleration of the…

Q: The altitude of a helicopter at three different instants is listed as below: 1, sec | 0.2 h, m |…

A: Given the altitude of a helicopter at three different times  t,sec0.20.30.45h,m445.98471.85503.46 we…

Q: IND THE ORTHOGONAL TRAJECTORIES OF THECURVES Y =Cx²,WHERE CIS AN ARBITRARY CONSTANT.

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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.…

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A: Use differential to find the (42)1/3

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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: Use Euler’s method with n = 2 on the interval 2 ≤ t ≤ 3 to approximate the solution f(t) to y′ = t -…

A: Given, y'=t-2y y(2)=3

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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: The maximum acceleration attained on the interval 0 <t < 3 by the particle whose velocity is v(t) =…

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

Q: The acceleration of a particle is a(t) = 60t −4t3 m/s2. Compute the average acceleration and the…

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Q: A particle moving along a line has position s(t) = t 4 - 18t2 m at time t seconds. At which times…

A: st=t4-18t2 Substitute 0 for s(t) into above position function. st=0t4-18t2=0t2t2-18=0t=0 or t2=18t=0…

Q: 2. The altitude of a helicopter at three different instants is listed as below: 0.3 1, sec 0.2 h, m…

A: We will solve this using 2 point forward and 2 point backward difference formula

Q: solve using ODE from t=0 to 2 when y(0)=1 dy/dt= yt^3 - 1.5y

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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…

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A: Answer and explanation is given below..

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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…

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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: Find the orthogonal trajectories of r^n= a^n cos . given that r(1) = 13

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Q: The altitude of a helicopter at three different instants is listed as below: 0.2 445.98 0.45 t, sec…

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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: 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: fs = t³ - 1250t², when will the acceleration seconds)? O 5 seconds O 3.5 seconds O 4.5 seconds O4…

A: Using differentiation we get acceleration

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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…

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Q: A Ferrari's position at time t is given by s(t) = t3-9t2 + 24t 4) At what time is the acceleration…

A: Given the equation of position of Ferrari's s(t)=t3−9t2+24t    ....(1)

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: A particle moving along a line has position s(t) = t4 − 18t2 m at time t seconds. At which times…

A: St=t4-18t2The particle passes through the origin when St=0t4-18t2=0t2t2-18=0t2=0   t2-18=0⇒t=0…

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

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

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Q: The position of a body moving along s-axis at any time 't is given by s(t) = 4t- 12t, then the…

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