3. The position of a particle travelling along a horizontal line in t seconds is s(t) = 2t³ – 15t? 84t + 3 meters. (a). Find the velocity and acceleration functions at time t = 2 seconds. [2 Marks]

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Q: a) What is the particle's position at time 2? b) What is the particle’s displacement from t= 1 to…

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

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

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Q: 2. A body moves along the straight path. If the given initial velocity is 2t2 – 4t + 5, what is the…

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Q: Two particles have positions at a time t given by the equations x1=t3-t and x2=6t2-t3 find the…

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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: Show that the displacement after time t for motion in a straight line with constant acceleration a,…

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Q: Q2. A particle moves along a straight line so that aftert (seconds), its distance from Oa fixed…

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Q: A particle moves on the x-axis with velocity given by v(t) = 3t4 − 11t2 + 9t − 2 for −3 ≤ t ≤ 3 .…

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Q: A particle moves along the x-axis with velocity given by v(t) = 10t + 12 for time t> 0. If the…

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Q: A particle moves along a line with acceleration 2 + 6t at time t. When t= 0, its velocity equals 3…

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Q: A particle moves along the x-axis with velocity given by v(t)=3t^2-6tv(t)=3t2−6t for time t\ge…

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

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Q: Find the displacement of a particle moving in a straight line with velocity v(t) = 4t - 3 mis over…

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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: If s(t) = 2t3 – 3t2 – 12t + 8represents the - position of a particle travelling along horizontal…

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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: The distance of a body travels as a function of time and is defined by x(t) = 18t + 9t^2. What is…

A: Given that: Distance travelled by the body is given by:             x(t)=18t+9t2

Q: 8. Suppose that a particle moves along a straight line with velocity defined by v(t) = t2+3t – 18,…

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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: 8. Consider an object moving along a line with velocity v(t) = 6t2 - 12t with t measured in seconds…

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Q: A particle moves along a straight line with velocity function v(t) = 8sin (t)- 4cos(t) and its…

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

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Q: Determine the velocity of the particle at t = 7.

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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 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) = 3t – 5 be the velocity function for a particle moving along a straight line. Here,…

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

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Q: Let v(t) = -14t + t² be the velocity, in ft/sec, of an object at time t, in %3D seconds. a) What is…

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Q: At time t ≥ 0, the velocity of a body movingalong the horizontal s-axis is v = t2 - 4t + 3. When is…

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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: Q2. A particle moves along a straight line so that after t (seconds), its distance from Oa S = t³ –…

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Q: Suppose that a particle moves along a straight line with acceleration defined by a(t)=t-3 where…

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Q: Q3- Choose the correct answer: 1-If velocity of a particle is given 4 points by v = 10 + 2t2 m/s,…

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