The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t – 7, 0sts 3

Q: Use the table to find the instantaneous velocity of y at the specified value of x. /69 18) x 1 O.2 X…

A: Calculation:From the given Table, the value of y at x = 1 is 0.25.Compute the instantaneous velocity…

Q: The position of a moving particle is given by s(t) = t2 – 7t + 4 on the interval 0 <t< 4, where 's'…

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Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = t2− 3t − 18,…

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Q: The velocity in m&gt;s of an object moving alonga line over the time interval [0, 6] is v(t) = t2 +…

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Q: Find the average velocity from time t= 0 to t = 1 of a car whose position p(t) along a horizontal…

A: Here, we have, Position of car along horizontal track is pt=4-t-2 from t=0 to 1 It is known that…

Q: Given the velocity v = ds and the initial position of a body moving along a coordinate line, find…

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Q: Can you please solve these two sub problems and show all of the steps and say the correct letter

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Given f(z) = x+ VE Calculate the tangent line at the point (16, 20) y : (2- 16) + 20

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 5t…

A: Given:The velocity function of the particle is v(t) = 5t-8.

Q: When d is in feet, t in second , find the velocity at t= 2 of the motion s = t^2 +3t

A: s=t2+3tVelocity of the particle isdsdt=2t+3On putting the value oft=2

Q: Use the graph of position, h(t), shown to estimate the velocity, v(t), at t = 1s. Time (sec) in (w)…

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Q: Find the displacement of an object over the time interval, [T/4, T/2], given the velocity function,…

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Q: Given the following velocity function of an object moving along a line, find the position function…

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Q: Find the position function of a particle moving along a coordinate line that satisfies the given…

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Q: If position is given by p(t) = –t² + 10t, what is the velocityV(t) at t = 3? O v(3) = 4 o v(3) = 1 •…

A: Acceleration = dv/dt

Q: If position is given by p(t) = t² – 1, what is the velocity, v(t), at t = 1. |meters per second

A: The position is pt=t2-1   Known fact: It is known that the velocity of an object is the rate of…

Q: c) Use the velocity function v(t)= 2e2m/s to compute the distance traveled by an object over the…

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Q: The displacement (in meters) of a particle moving in a straight line is given by s = t2 – 5t + 15,…

A: Given: s=t2-5t+15, where t is measured in seconds

Q: The position of a moving particle is given by s(t) = t2 – 7t + 5 on the interval 0 <t< 5, %3D -…

A: First I have find the Instantaneous velocity and then Average velocity then making them equal and…

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: Assume a particle’s position is given by f (t) = −4 / t, where t is measured in seconds and f (t) is…

A: The velocity of a particle is found by differentiating the position function of a particle,…

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: Suppose we have the position function: r (t) = t. t2 Evaluate the tangential component of…

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Q: Show that for motion in a straight line with constant acceleration a, initial velocity v0, and…

A: Let the acceleration a(t) = a, constant.Take integral on both sides to get velocity equation,

Q: The position function of a particle is given by s(t) = 3t2 – t3, t > 0. (a) When does the particle…

A: The given position function is:  s(t)=3t2-t3So, the velocity function…

Q: The position function of a particle is given below. s(t) = 3 + 6t2 - 61t, t > 0 When does the…

A: Velocity function is the derivative of the position function. So differentiating s(t) with respect…

Q: Given the following velocity function of an object moving along a line, find the position function…

A: vt=2t, s0=1

Q: Given the following velocity function of an object moving along a line, find the position function…

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Q: Find the velocity and the acceleration at time t = 4 s for the position function s(t) = V +5. v(4) =

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Q: Consider the velocity functionfor an object moving along a line as shown.Assuming the velocity…

A: Given, velocity time graph. To find: displacement between t=0 and any time t≥5.

Q: Find the displacement of an object on the interval 0 ≤ t ≤ 6 if its velocity is v (t) = 4t -√√t

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Q: An object with an initial position of x(0) = 3 has a velocity of v(t) = tVt² + 9. %3D What is its…

A: We are given an initial object with an initial position of x(0) = 3 has a velocity of Now, position…

Q: Find an equation for the instantaneous velocity v(t) if the height of an object is defined as h(t)…

A: To find: The instantaneous velocity at any point in time. Given: The height of an object is .…

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: The velocity function (in meters per second) is given by v(t) = t2 - 2t - 3, for a particle moving…

A: We will use formula for the Displacement and distance in terms of Velocity function

Q: The average velocity over [to, t1] is equal to the slope of the secant line.

A: Given  the slope having

Q: The position function of a particle is given by = t3 – 10.5t2 – 2t, t > 0 When does the particle…

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Q: An element is moving along a straight line so that v ft/sec is the velocity of the particle at t…

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Q: Determine the velocity of the particle at t = 7.

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Q: Given the acceleration, initial velocity and initial position, find the position function r(t). a(t)…

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Q: If position is given by p(t)=-t^2+5t what is the velocity v(t) at t=2?

A: The position is p(t)=-t2+5t

Q: The position function of a particle is given below. s(t) = t3 + 3t2 - 6t, t 2 0 When does the…

A: The velocity function of a particle is given byv(t)=ddts(t)

Q: Let v(t) = 3t – 5 be the velocity function for a particle moving along a straight line. Here,…

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Q: Let v(t) = t2 – 10t be the velocity, in ft/sec, of an object at time t, in seconds. a) What is the…

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Q: The velocity (in feet per second)of a partice moving along a line is v(t) = t – 10t² +29t – 20 -…

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Q: Find the average velocity of an object for the interval 1<t< 3, if its position is given by s = = t²…

A: Differentiate the function to find the velocity function. dsdt=2t+5

Q: At time t ≥ 0, the velocity of a body movingalong the horizontal s-axis is v = t2 - 4t + 3. When is…

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Q: Given the following velocity function of an object moving along a​ line, find the position function…

A: Velocity function of an object moving along a line is given by v (t) that is;V (t) = e-3t+3It is…

Q: A particle moves in a straight line with velocity v(t)=t2 How far does the particle move between…

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