For numbers 7 and 8. Let v(t) =t? – 2t – 5 be the velocity function for a particle moving along a straight line. Here, velocity is measured in meters per second.

Q: where is in seconds, and v is a. Is the particle speeding up or slowing down at t = 5? b. If the…

A: Given that a particle is moving along a horizontal line such that its velocity is given by…

Q: The velocity, v of a body as a function of time, t is given as v(t) = 4e2t + 5, where t is in…

A: We are given with velocity of a body as a function of time and we have to find the acceleration of…

Q: The position function of a particle is giyen by s(t) = (t – 1)²(t – 3) , where t is measured is…

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Q: A particle of mass m moves through a fluid, subject to a resistance R that is a function of the…

A: Hi. You have posted multiple questions in a single request. We will only solve the first one. Post…

Q: Let s(t) = 8t – 31° be the displacement function of a particle moving on a straight line, where tis…

A: Here we have to find average velocity and time for which the displacement is positive

Q: If x  is inversly proportional to the cube of T and X=54, when T=3, find An equation for T interms…

A: X= K/T^3 Is the equation

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: T(E) = N= T'(4) Evoluate (t) NG) for t=L,

A: First we find r'(t) then put t=1

Q: Given that s(t) = 12t – t is a a position function in millimeters and t is time in seconds; find the…

A: For the average velocity first, find the displacement between t=1 and t=3 seconds and then divide it…

Q: Find s(t), where s(t) represents the position function and v(t) represents the velocity function.…

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Q: 3. The velocity of a car (in miles per hour) is given by v(t) = 5 +2t, where t is in hours. Find how…

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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: The displacement, x of a body as a function of time, t is given as r(t) m. The velocity in m/s at t…

A: given x(t)=3e-2t+5t2

Q: Find s(t), where s(t) represents the position function, v(t) represents the velocity function, and…

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Q: If s(t) =t ––t² +2t – 5 represents the position of a yo-yo off the ground then when %D would the…

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Q: - truck driving along a freeway with traffic has travelled s(t) 3 +6t+7 meters in t %3D econds. If…

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Q: Use differentials and the graph of f to approximate (a) f (1.9) and (b) f (2.04). To print an…

A: To calculate the approximate value of a) f(1.9) and b) f(2.04)

Q: The velocity function is v(t) = -² + 5t – 6

A: Given velocity function v(t)=-t2+5t-6 for a particle moving along a line. We need to find the…

Q: Suppose the function p(t)=(t^2 - 2)e^2t represents the position of a particle at time t. Determine…

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Q: A particle moves on the x-axis with velocity given by v(t) = 3t4 − 11t2 + 9t − 2 for −3 ≤ t ≤ 3 .…

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Q: The velocity of an object is given by v= (t+1)% The position, s, at any time, t, if s = 1 V = when t…

A: Given query is to find the position function s.

Q: The velocity function (in meters per second) for a particle moving along a line is given by…

A: We have given

Q: For a t-curve with df = 11, find the t-value to 10: O A. 1.280 ОВ. 1.363 O C. 2.718 O D. 1.372

A: Given Degrees of freedom (df)=11

Q: given the position function for an object in motion is s(t)=2t2+4t-1 what is the average velocity on…

A: Definition used:The average velocity of an object with position function f(t) over an interval [a,…

Q: - Find F-T: for the functions -at e t70 1at tco e

A: We have to use integral formula.

Q: For a t-curve with df = 4, find the t-value to o5: O A. 2.132 O B. 1.645 O C. 2.353 O D. 4.604

A: Provided information: Degrees of freedom, d.f. = 4

Q: Find s(t), where s(t) represents the position function and v(t) represents the velocity function.…

A: Given query is to find the position function.

Q: The position of an object moving along a line at any time t > 0 is given by the function s(t) = t3 –…

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Q: The velocity of an object moving in a straight line is given (in m/s) by v(t) = 2t – 3. Find the…

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Q: The value of b makes the line y = 2x +b be tangent to the function f (x) = x² is O -1 none О 1 O 2

A: Tangent line related problem......

Q: For a t-curve with df = 20, find the t-value to.01- O A. 1.325 O B. 2.528 O C. 2.330 O D. 2.539

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Q: A particle of mass m moving through a fluid is is subjected to a viscous resistance R, which is a…

A: Given A particle of mass m moving through a fluid is subjected to a viscous resistance R which is…

Q: For a t-curve with df = 11, find the t-value to 10: O A. 1.280 В. 2.718 O C. 1.363 O D. 1.372

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Q: A ball rolls down an inclined plane such that the distance (in centimeters) that it rolls in t…

A: Differentiate the function s(t)=2t3+3t2+4 to find the velocity function.…

Q: For the linear function Y 3: df a. Find at a = 10. dr f'( – 10) : o. Find a formula for a = f'(y). f…

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Q: The velocity, v of a body as a function of time, t is given as v(t) = 3e 2t + 2, where t is in…

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Q: If y1=2x+4 and y2=x^2+C, find the value of C such that y2 is tangent to y1. O 5 O 6 O 7 4.

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Q: A cyclist rides down a long straight road at a velocity (in m/min) given by v(t) = 400-20t, for 0≤t≤…

A: Given query is to find the distance traveled for different times.

Q: 3 f(x) = x2, with 0 < x < 1

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Q: For numbers 7 and 8. Let v(t) =t2 – 2t – 5 be the velocity function for a particle moving along a…

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Q: (c) Find the length of the curve described by r = e30 for 0 < 0< 4.

A: Given, r=e3θ for 0≤θ≤4

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

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Q: If y1=2x+4 and y2 =x^2+C, find the value of C such that y2 is tangent to y1

A: Given: y1=2x+4    and    y2 =x²+C   To find :the value of C such that y2 is tangent to y1

Q: The position of an object moving along a line is given by the function s(t) = -17t + 153t. Find the…

A: Given:  The position of an object moving along a line is given by the function s(t)=-17t2+153t. To…

Q: Find the length L of the curve R(t) = 4ť²i + t° j+ 4k over the interval [3, 6]. L

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Q: A woman bails out of an airplane at an altitude of 10,000 ft, falls freely for 22 s, then opens her…

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Q: Let s(t) = t2+2 be the position of a car on a road, where s(t) is in feet and t is in seconds.  Find…

A: Given,

Q: Find a general expression for the velocity of the rock at any time t. s(t)=64-16t2,

A: Given,The displacement vector of a rock, S(t) = 64 – 16t2We need to find the general expression of…

Q: The distance, s, of a moving body from a fixed point is given as 24ei. Find the velocity, v, of the…

A: We will find out the required solution.

Q: The velocity, v of a body as a function of time, t is given as v(t) = 5e4+4, where t is in seconds,…

A: Since, we have been given that v(t)=5e-2t+4-(i), where t is in secondsand v is in m/s.Our Aim is to…