A Ferrari's position at time t is given by s(t) = t3 - 9t2 + 24t 1) Find the velocity, v(t) of the Ferrari at time t.

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A: Given, v(t)=t3-2t2   Interval [a,b]=[-2,3]

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

A: Given, Velocity of the particle = v(t) = 4 - 2t  We have to find the displacement at time t = 2 So,…

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A: The detailed solution is given below  Thank you

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

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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…

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Q: A Ferrari's position at time t is given by s(t) = t3 - 9t2 + 24t 2) What is the Ferrari's velocity…

A: Given:    s(t) = t3 - 9t2 + 24 t   Velocity at t = 0

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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: Suppose that a particle moves along a straight line with velocity v(t) = 13 – 2t, where 0 <t < 3 (in…

A: Given vt=13-2t, 0≤t≤3,t=3

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A: Let the acceleration a(t) = a, constant.Take integral on both sides to get velocity equation,

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A: The given function is,

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Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = t 2 – 3t – 18,…

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Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = 10t(4 − t) (t +…

A: The given data isVt=10t4-tt+1t-7m/s.To find:The distance travelled by particle over interval t∈0,6.

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A: We will find out the required value.

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Q: A particle moves along the x-axis with velocity given by v(t) = 3t2 + 12t – 6 for timet > 0. If the…

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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: 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)

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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 on a line is at position x(t)=t3−9t2+24t−5 at time t where t is in seconds. At…

A: The given function for position of an object is where t is the time in seconds. Now, to find points…

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

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Q: A particle moving in a straight line is at a distance of s(t) = 1.lt³ + 13t feet from its starting…

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