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 backward? O 1 6 00st<1 O Ost< 6

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 particle at time t is given by p(t)=7t^2.3-5t^1.2. Find the particle's…

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Q: ds The position of a particle at time t is given by s. Find the velocity dt 4 - 5st + 2t - 7t= 0

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Q: A particle is moving with acceleration = 6t + 12. its position at time t = 0 is a(t) s(0) = 5 and…

A: First use the integration to find the velocity then again integrate to get the position function.

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 velocity v(t) = t2-9t + 18 with dista seconds inclusive. The position at…

A: To find the time interval when partical moving right .

Q: A particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = -3t2 - 2t +…

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Q: A particle moves along a line so that its position at any time t 2 0 is given by the function s(t) =…

A: Explanation of the answer is as follows

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 moves along the x-axis so that at time t 0 its velocity is given by v(t) = 3t2 - 6t 24.…

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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 is moving with acceleration a(t) = 6t + 8. its = 0 is s(0) = 16 and its velocity at…

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Q: A particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = 3t2 – 60t.…

A: v(t)=3t2-60t,    t≥0the particle is moving to the right whenv(t)&gt;03t2-60t&gt;03t(t-20)&gt;0

Q: A particle moves along the x-axis with velocity given by v(t) = 6t – 6t for time t > 0. If 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: A particle moves along the x-axis with velocity given by v(t) = 6t2 at time t = 0, what is the…

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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…

A: For the given velocity  v(t) = 10t +12 for t&gt;=0 if the position is x =2  at time t = 0  Position…

Q: along the x-axis so that at time t 2 0, the acceleration of the particle is a(t) = 15Vr. ticle is 10…

A: In this question we will use basic concepts of calculus i.e concept of integration. We will use the…

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: 3. For time t > 0, a particle moves along the X-axis, its position is given by the function s(t) =…

A: Consider the given position function. st=-t3+3t2-6 Find the double derivative of the position vector…

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

A: Answer and explanation is given below..

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

A: To find velocity we have to differentiate the distance s with respect to t.

Q: A particle moves along the x-axis so that at time t ≥ 0, its position is given by x(t) = 2t3 - 3t2.…

A: V(t) = d[x(t)]/dt Put, v(t) &gt; 0.

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: 9) A particle moves along the y-axis with velocity v(t) = 2tvt² +1 m s' for t 2 0. Describe its…

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Q: A particle moves along the x-axis so that at time t > 0 its velocity is given by v(t) = 3t² – 30t –…

A: topic - quadratic equations

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

A: Given: The velocity of the particle along x-axis is vt=10t+12 The particle is at the position x=2 at…

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: 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: 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: 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: A particle moves along the x-axis with velocity given by v(t) = 3t2 + 13 for time t > 0. If the…

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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…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A particle moves along the x-axis with velocity given by v(t) = 6t² + 1 for time t > 0. If the…

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Q: A particle moves along the x-axis with velocity given by v(t) = 6t² – 10t for time t> 0. If the…

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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 with acceleration a(t) = 6t + 16. its position at time t = 0 is s(0) = 15 and…

A: Given: a(t)=6t+16             v(0)=1             s(0)=15we know that v(t)=∫a(t)dt…

Q: Ithe particle is at the point (1, ) at time t 0, how far is the particle from the origin at time t=…

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Q: A particle moves along the x-axis so that at time t z(t) = -3t+ 27t2-45t +11. Determine the total…

A: Given: The position of the particle is given by, xt-3t3+27t2-45t+11

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: 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: 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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Q: A particle moves along the x-axis so that at time t>0 its velocity is given by v(t) = 6t2 - 96t.…

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