Q 10 Show that for motion in a straight line with constant acceleration a, initial velocity vo , and initial displacement so, the displacement after time a is at2 S= So + vot+ 2

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: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

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Q: A particle moves on a straight line and has acceleration a(t) = 24t+2 Its position at t=0 is s(0) =…

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Q: The position of a body moving along s-axis at any time 't' is given by s(t) = 9t3 – 48t, then the…

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Q: a(t) = t? + 12 v(0) = 8 0 sts 10

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

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Q: The acceleration function (in m/s²) and the initial velocity v(0) are given for a particle moving…

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Q: A particle moves in a straight line with the given velocity v(t) = 4t-2 – 1 (in m/s). Find the…

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Q: A particle is moving with acceleration a(t) = 18t + 6. its position at time t = 0 is s(0) = 15 and…

A: To find: The position of particle at t=10. Given: The values are a(t)=18t+6, v(0)=15 and s(0)=15.…

Q: A particle is moving with acceleration a(t) = 6t + 8. its position at timet = 0 is s(0) = 13 and its…

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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…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

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Q: A particle is moving with acceleration a(t)=36t+14. its position at time t=0 is s(0)=14 and its…

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Q: A particle is moving with acceleration a(t)=12t+10. Its position at time t=0 is s(0)=8 and its…

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Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A: We can solve as follows

Q: The acceleration function (in m/s²) and the initial velocity v(0) are given for a particle moving…

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Q: 30 m/s L lled A Ex. 8.7.26 al bonifom C A jumper starts with horizontal orl velocity of 30 m/s on a…

A: Solution: Time of journey, length of jump along ramp and maximum vertical distance is as under:

Q: Q-2- A Particle moves in a straight line so that after t sec. it is Sm. from a fixed Point O on the…

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Q: A particle is moving with acceleration a(t) = 6t + 4. its position at time t = 0 is s(0) = 14 and…

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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…

A: Given initial velocity is     vt = 2t2-4t+5As we know that velocity is rate of change of…

Q: - particle's position for t > 0 is given by s (t) = 2t³ + 2t² – 5t +2. What s the acceleration at t…

A: Given query is to find the acceleration ate t= 1.

Q: The acceleration function (in m/s²) and the initial velocity are given for a particle moving along a…

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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) = 30t + 10. its position at time t = 0 is s(0) = 7 and…

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Q: = 10t – 10, where A particle moves along a line with velocity function v(t) v is measured in m/s.…

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

A: Sol:-

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: 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 particle is moving with acceleration a(t) = 6t + 10. its position at time t = 0 is s(0) = 17 and…

A:

Q: The acceleration function (in m/s²) and the initial velocity are given for a particle moving along a…

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Q: A particle is moving with acceleration a(t) = 36t + 8. its position at time t = 0 is s(0) = 17 and…

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Q: 1. A particle is moving along a straight line according to the position function 125 2 s(t) 16t+32 5…

A: Given: st=12516t+32-25 As we know that the expression for the velocity is: vt=dstdt And The…

Q: 8. The acceleration of a particle moving along x-axis at time t is defined by a=4t-12. At t=0, the…

A: Given: The acceleration of a particle moving along x‐axis at time t is defined by a=4t-12. At t=0,…

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: A particle is moving with acceleration a(t) = 24t + 6. its position at time t time t = 0 is v(0) =…

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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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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: The acceleration function (in m/s²) and the initial velocity are given for a particle moving along a…

A: Given query is to find the distance traveled by the partical from t=0  to t =10.

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

A: Just integrate the velocity function and find the value of integration constant with the given…

Q: 3. If s(t) = 3f³ -1812+5, 0<1<3 gives the position of a moving particle, find the velocity and…

A: Here given position function s(t)= 3t3-18t2+5

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: A particle is moving with acceleration a(t) = 30t + 2. its position at time t = 0 is s(0) = 3 and…

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Q: A particle is moving with acceleration a(t) = 6t+ 6. its position at time t = 0 is s(0) = 11 and its…

A: GIven: a(t)=6t+6 s(0)=11 v(0)=9   We know that, the integral of acceleration 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: Q2. A particle moves along a straight line so that after t (seconds), its distance from Oa S = t³ –…

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

A: If velocity of a particle is given by v=10+2t^2 m/s. the average acceleration between 2 and 5s is…