Given the acceleration and initial velocity of a body moving along a coordinate line at time t, find the body's position at time t. acceleration = -8t + 5, initial velocity = 2     v = -8t2 + 5t + 2     v = t3 + t2 + 2t + C     v = -4t2 + 5t + 2     v = -4t2 + 5t + 1

Q: The height (in feet) of a stone dropped from a bridge 174.24 feet above a river at t=0 seconds is…

A: Distance function S(t) = -16t2 + 174.24                         @ t=0, S = 174.24 ftacceleration due…

Q: An object is moving along a horizontal path with its position modeled by the equation (t) =t³ – 2t2…

A: Given: xt=t3-2t2-3t for finding position at t=1, we put t=1 in given position expression so,…

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A: Tx=0⇒x=0Ty=0⇒y=0Using D-TestD=TxxTyy-[Txy2]D=0 at (0,0)   T(x,y) is minimum

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Q: Obtain a family of solutions using the indicated process. For those items with initial values,…

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Q: (² + 1)³yy'(t) = 1(y² + 4)

A: Given:- (t2 +1)3y y'(t) =t(y2 +4)  To find:- General solution of given differential equation

Q: initial position of a body moving along a coordinate line at time t, find the body's position at…

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Q: Two particles have positions at time t seconds given by the equations s1 = t3 - t meters and s2 =…

A: V=d[S]/dt a=d[v]/dt

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

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Q: Determine exact solutions for the equation 2sin2x-3sinx + 1 = 0 in the interval x e [T, 3n].

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A: given equation :

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: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

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Q: If a ball is given a push so that it has an initial velocity of 24 ft/sec down a certain inclined…

A: Here we can use the fact that the velocity is the instantaneous rate of change of distance. That…

Q: A particle moves along a straight line and its position at time t is given by s(t)=2t^3−24t^2+72t…

A: St=2t3-24t2+72tVt=ddtSt =VelocityVt=6t2-48t+72at=ddtVt=Accelerationat=12t-48Now ,        velocity…

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Q: If s = 3t2 – 16t-2, when will acceleration be zero? An object moves along a horizontal line…

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Q: value of c in the equation: dV/dt = -500 (t+1)-2, when  V=700and t=0 is

A: follow next step

Q: The position of a particle moving along a coordinate axis is given by s(t)=t^3−9t^2+24t+4 for t≥0.…

A: For velociti differentiation of position vector And for acceleration derivative of velocity vector

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

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Q: The position of a particle at any timet is given by S =-15t2+ 48t-10. What is the velocity after 10…

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A: We have to be find solution

Q: If s = 3t – 16t-², when will acceleration be zero? An object moves along a horizontal line according…

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Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A: To find the distance between objects.

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

A: It is mentioned in the question that the particle moves continuously in the direction of increase in…

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: Solve for the 2nd order nonhomogeneous linear equation: y"+12y'+37y=10e-4t     ; y(0)=4,  y'(0)=0

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Q: A particle moving in a straight line covers a distance of x cm in t second, where x = t³ + 6t² − 15t…

A: Solution is given below

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Q: Suppose you are standing in a field near a straight section of railroad tracks just as the…

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Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

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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: If the brakes on a car give the car a constant negative acceleration of 2k m/s?. where k is a…

A: The given question has been solved in detail.

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A: For displacement we find out integration of v(t) from -2 to 3

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A: Given :  v=-gt + u lnmm-rt,   t<mrAlso given that :  g=32,…

Q: An insect is in a toxic environment. The level of toxicity is given by I(x,y)= 2x* – 4y If the…

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Q: Eliminating the parameter from x = f(t) and y = g(t) means eliminating_______ from the pair of…

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Q: The position of a squirrel flying along a straight line is given by s(t)=3t^3 -7t meters, where t is…

A: Topic = Algebra

Q: 2. Solve the IVP: *+ 2y = te-2", y(1) = 0 dt

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Q: 7. A swimmer orients herself perpendicular to the parallel banks of a river. If the swimmer's…

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