A particle moves along a coordinate axis. Its position at time t is given by p(t) = t³ – 3t + 5. Is the particle moving to the left or to the right at time t = -1?

Q: The position of the particle at time t is given by s(t) = t2 – 14t + 48. The particle is moving from…

A: When velocity that is derivate of position function become positive than partice will move from left…

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: find the solution of the given initial value problem, and plot its graph. How does the solution…

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Q: Suppose that the position of a particle is given by s(t)= 2t^3+6t+9(a) Find the velocity at time t.

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Q: The position of the particle at time t is given by s(t) = t² – 10t + 24. The particle is moving from…

A: Given the position of the particle s(t)=t2-10t+24. We need to find when the particle is moving from…

Q: The position of the particle at time t is given by s(t) = t² – 15t + 24. The particle is rest at - t…

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Q: he position of the particle at timet is given by s(t) =ť² – 4t + 3. The particle is moving from…

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Q: The position of a particle on the x-axis is given by (t) = t – 4t + 3. At what time is the…

A: solution:-position of particle is given byx(t)=t2-4t+3velocity, v(t)=ddtx(t)…

Q: Let s =t -5t-6 ; find the maximum speed of the particle during the time interval 0<=t<=6 7.

A: Given S= t² - 5t - 6;  The speed can be found by taking the first derivative of S with respect to t

Q: Given the velocity and initial position of a body moving along a coordinate line at time t, find the…

A: See attached file for a step by step explanation.

Q: The position of the particle at time t is given by s(t) = t2 – 9t + 8. The particle is rest at…

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Q: In the given question , consider a particle moving along the x-axis, where x (t) is the position of…

A: Givenx(t)=t3-6t+9t     0≤t≤5

Q: The position of the particle at time t is given by s(t) = t – 8t + 15. The particle is moving from…

A: Put derivative equal to zero

Q: The position of the particle at time t is given by s(t) = t² – 6t + 8. The particle is moving from…

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Q: The position of the particle at time t is given by s(t) =t - 16t + 63. The particle is moving from…

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Q: If the position of a particle is represented by x(t) = -t2 + 1, what is its instantaneous velocity…

A: We are given that the position of a particle is represented by x(t)=-t2+1. Now, we need to find its…

Q: Solve the problem. Given the velocity and initial position of a body moving along a coordinate line…

A: Given: Velocity at time t is V=-6t+4 Initial position is s(0)=6

Q: The position of the particle at time t is given by s(t) = t2 – 16t + 63. The particle is moving from…

A: t=10.0 seconds

Q: The position of the particle at time t is given by s(t) = t² – 8t + 15. %3D The particle is moving…

A: Concept used particle will move fromleft to right when velocitydvdtbecome positive.dsdt&gt;0

Q: The position of the particle at time t is given by s(t) = t2 – 18t + 80. The particle is moving from…

A: Solution

Q: The position of the particle at time t is given by s(t) = t2 - 8t + 15. The particle is moving from…

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Q: The position of the particle at time t is given by s(t) = t2 – 4t + 3. The particle is moving from…

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Q: The position of the particle at time t is given by s(t) = t² – 12t + 15. The particle is rest at t =…

A: Explanation of the answer is as follows

Q: Find the solution of the initial value problem y" + 4y = 0, Y vG) = 1, -2. Sketch the graph of the…

A: We will find out the required solution.

Q: Find the solution of the initial value problem y" + 4y = 0, Y ) = 1, y() -2. Sketch the graph of the…

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Q: The position of the particle at time t is given by s(t) = t- 6t +8. The particle is moving from left…

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Q: dx Solve the first order homogenous equation ху dy 2y – x²

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Q: The position of a particle moving along the x - axis at time t is given by x(t) = ecos2t, 0<ts . For…

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Q: The position of the particle at time t is given by s(t) = t2 – 14t + 48. The particle is moving from…

A: Particle is moving left to right when tangent(slope) of the function is parallel to t-axis.

Q: The position of the particle at time t is given by s(t) = t2 – 8t + 15. The particle is moving from…

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Q: A particle moves along the x-axis so that at time t >0 its position is given by r(t) = t - 7t + 13.…

A: Given: t≥0xt=t2-7t+13

Q: find the solution of the given initial value problem, and plot its graph. How does the solution…

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Q: If the position of a moving particle at any time t' is defined by s(t) = t - 2t2 + 13. Then the…

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Q: The position of the particle at time t is given by s(t) = t² – 10t + 24. The particle is moving from…

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Q: The position of the particle at time t is given by s(t) = t² – 12t + 35. The particle is moving from…

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Q: If the position of a particle on the x-axis at time t is-5t", then the average velocity of the…

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Q: Which of the following graphs shows the solution of the initial value problem dy -x, y = 1 when x =…

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Q: Find the L{y(t)}, given the initial value proble y" - 3y' + 2y = t - 2;

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Q: Given the velocity and initial position of a body moving along a coordinate line at time t, find the…

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Q: A heat-seeking particle is located at the point (2, 3) on a flat metal plate whose temperature at a…

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Q: The position of the particle at time t is given by s(t) – t – 10t +24. The particle is moving from…

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Q: Given the velocity and initial position of a body moving along a coordinate line at time t, find the…

A: Given velocity function  v = -6t + 5

Q: The position of the particle at time t is given by s(t) = t2 – 9t + 8. The particle is rest at t =…

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Q: Suppose that the amount of phosphorus in a lake at time t, denoted by P(t), follows the equation dP…

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Q: A particle moves along the x-axis so that at time t > 0 its position is given by x(t) = t3 + 12t2 –…

A: Given, x(t)=t3+12t2-27t  .................(1) Particle comes to rest when, v(t)=0 we have to find…

Q: The position of the particle at time t is given by s(t) = t – 6t + 8. %3D The particle is moving…

A: The particle moves to right if it's velocity is positive .

Q: Let y (t) be the solution of the initial value problem y" – 4y' + 5y = e-2t 1 y (0) and y' (0) 17 17…

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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 moves along the x-axis so that at time t 0 its position is given by a(t) = -t + 4ť² – 4t.…

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