(1 point) A particle moves along an ss-axis, use the given information to find the position function of the particle.   a(t)=t2+4t−2,v(0)=0,s(0)=0     s(t)=

Q: A force of 640 newtons stretches a spring 4 meters. A mass of 40 kilograms is attached to the end of…

A: Given that Force (F) = 640 Newtons Distance (x) =4 meters Mass (m) = 40 kilograms Upward velocity…

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A: Solve the following

Q: A point moves along the curve y? = 23 4.x + 9. When the point is at (2, -3), its y-coordinate is…

A: Solve

Q: Two particles A and B, of masses 0-3 kg and 0-7 kg, are moving towards each other on a smooth…

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Q: Consider a particle moving along the x-axis, where x(t) is the position of the particle at time t,…

A: We find x(t) by integrating v(t) C=integrating constant We find C using x=4 and t=1

Q: 1. The hiking trail starts at the foot of a steep hill that follows a trajectory described by the…

A: Find your answer below

Q: 2. An object is moving along a line with veclocity v(t) and position function s(t). The graph of the…

A: .

Q: 7. A particle moves along a horizontal line so that it's distance in feet from it's initial position…

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Q: A particle moves along a line with velocity function v(t) = t2 – t, where v is measured in meters…

A:

Q: Initial velocity of a free falling ball is v = 1.2" , what will be the ball m m velocity after 1…

A:

Q: a) Find the equation of the tangent line to the curve 8x2y3 - 5x2 + 7y3 = 10 (x-3y), at the point…

A: As per bartleby guidelines we are supported toanswer only one question other can you…

Q: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2. if at any point (x, y)…

A:

Q: A ball located at point Q, with an initial angle of 0 = 0, on a spinning wheel with a radius of 1…

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Q: V. Find the equation of the tangent and normal line of the function f(x) = %3! V2x – 1 at the point…

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Q: A force of 720 newtons stretches a spring 4 meters. A mass of 45 kilograms is attached to the end of…

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: 2) A particle is moving along the curve whose equation is 1+ Assume that the x-coordinate is…

A:

Q: 2. A particle is moving along a horizontal line. The position of the particle from the origin after…

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Q: Consider a particle moving along the x-axis where x(t) is the position of the particle at time t,…

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Q: ric equations for the tangent line to the curve of intersection + y2, 8x - 3y + 4z = 32, (3, 4, 5)

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Q: Consider a particle moving along the x-axis where x(t) is the position of the particle at time t,…

A: We have given the velocity function v(t) = 3/√t, t > 0. At time t = 1, its position is x = 10.

Q: A force of 660 newtons stretches a spring 3 meters. A mass of 55 kilograms is attached to the end of…

A:

Q: A particle moves along a coordinate axis. Its position at time t is given by p(t) = t³ – 3t + 5. Is…

A: The position of particle is given as p(t)=t3-3t+5. We find its velocity by differentiating p(t),…

Q: 2. An object is moving along a line with veclocity v(t) and position function s(t). The graph of the…

A:

Q: Please

A:

Q: A particle moves with position function s(t) = (t2 + 1)e-t , t ≥ 0. Find the particle’s velocity and…

A: Consider the given position function, st=t2+1e-t,   t≥0 The rate of change of position function st…

Q: 5. Motion. In a straight-line motion, let the velocity be the reciprocal of the acceleration. Find…

A: As per guidelines at a time only one question is answered Solution of first question is given below:

Q: A force of 480 newtons stretches a spring 2 meters. A mass of 60 kilograms is attached to the end of…

A: From the given information,The weight W = 480 newtons and the spring stretches s = 2 meters.

Q: 4. The range R of a projectile fired with an initial velocity vo at an angle 0 with the horizontal…

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Q: d the maximum rate of change of f(x, y) = e**y at the point (3, 0) d the direction in which it…

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Q: 6. A particle moves along a line with velocity function v(t) = t² – t, where v is measured in meters…

A: (a) The displacement of the particle is,…

Q: A particle starts at time t-0 and moves along the x-axis so that its position at any time tz 0 is…

A: The position of the particle at any time t is: x(t)=t-132t-3x(t)=2t4-9t3+15t2-11t+3

Q: 4- x Find the equation of the tangent line tof-l at the point P (G, 1) for f(x) = x+1 Provide your…

A: Topic:- application of derivatives

Q: Can you help me step by step?

A: Given equation of curve is y=ax2+bx+c which passes through (1, 3) so point (1, 3) will satisfy the…

Q: A force of 720 newtons stretches a spring 4 meters. A mass of 45 kilograms is attached to the end of…

A: To calculate the equation of motion of the mass attached to the spring-mass system.

Q: 2 Two particles, P and Q, move in a straight line. The velocity of particle P, v, m s", is given by…

A: We need to find  a)time when acceleration of p and q are equal. b)maximum velocity of q  c)time when…

Q: (1 point) The velocity function is v(t) = t – 6t + 8 for a particle moving along a line. Find the…

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Q: 5.( The velocity function v(t) = -2t + 6, on the interval [1,5] is given for a particle moving along…

A: Distance travels by the particle Velocity is given  Distance ?

Q: A force of 640 newtons stretches a spring 4 meters. A mass of 40 kilograms is attached to the end of…

A:

Q: The graph of y = f(x) passes through the point (9,4). Also, the line tangent to the graph at any…

A: Given: The graph of y=fx passes through the point 9, 4. Also the line tangent to the graph at any…

Q: Find the general equation of the orthogonal trajectories of the curves for the given equations. The…

A: The given equation of the curve is y=ccosxTo find general equation of the orthogonal trajectory

Q: (b) A system which is represented by the given equation below, is able to work effectively even when…

A: Follow the python script.

Q: A point moves along the curve y = 2x 3 − 5x 2 − 1 (cm). (a) Find the direction of travel at x =…

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Q: A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a…

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Q: (18) Consider a particle with position function 7 (t) = (t, t² – 3t, 2t²). (a) Find the velocity,…

A: If Position Vector is given as function of t then Velocity vector can be find out by differentiating…

Q: 17. A particle moves along a line with velocity function v(t) = t² – t, where v is measured in…

A: The given velocity function is vt=t2-t. Obtain the displacement during the time interval 0,5 as…

Q: A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the…

A: Given: A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches g = 32…

Q: 2. A particle moves in a circular orbit x² + y² = 16. As it passes through the point (2, 2/3 ), its…

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Q: 6/5 rate of change of f(x, y) at the point (1, 1) in the direction of v is V2 find a.

A: