A particle moving along a line has velocity in feet per second: v(t) = t – 2t – 8, 0

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Q: Assume that the pressure P (in kilopascals) and volume V (in cubic centimeters) of an expanding gas…

A: Given that the pressure P (in kilopascals) and volume V (in cubic centimeters) of an expanding gas…

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Q: A 100 gal-tank initially contains 50 gal of fresh water. At t = 0, a salt solution containing 1 Ib…

A: Given: A 100 gal-tank initially contains 50 gal of fresh water. At t=0, a salt solution containing 1…

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

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Q: 224. Suppose that a particle moves along a straight line with velocity defined by v(t) =t-3t-18,…

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Q: i dont understand a) through d)

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Q: Assume that an object moves with velocity v(t) = sin(t)+ §. (a) Determine the displacement of the…

A: Consider the given: vt=sint+12dstdt=sint+12st=∫sint+12dt Find the displacement of the object between…

Q: which then evaporates at a rate proportional to the area of the surface of the water. Show that the…

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Q: The velocity function is v(t)=t2 +6t+8 for a particle moving along a line. Find the displacement…

A: We have to find out the displacement

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Q: Suppose the length of rod, L = 50 cm is immersed in steam until its temperature is throughout u, =…

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Q: Water is flowing into a conical vessel 20 cm deep and 10 cm across the top when the depth of water…

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Q: The velocity constant k of a given chemical reaction is given by: 1 kt = dr (3—0.4х)(2 —0.6х) where…

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

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Q: A particle starts moving from the origin with the velocity v(t)=⟨4t,3t2−1⟩, where t is measured in…

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Q: -A ball is dropped from a viscous fluid frcm rest with a resisting force numerically equai to 0.01V…

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Q: Find the total distance traveled by a particle according to the velocity function v(t)=−t+7 m/sec…

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Q: (9) The velocity of an object moving along a straight line is v(t) = t² – 10t + 16. Find the over…

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Q: A soccer ball is kicked upward from a height of 2 ft with a speed of 16f t/s. Assuming that its…

A: To find the equation for velocity we will integrate the equation of acceleration  c=integrating…

Q: (c) Suppose instead that we have a rectangular tank containing the same volume of water (pictured…

A: c Volume of cube =8m×1.5m×3m=36m3 volume of water =12×3×3×8=36m3 Volume of water is equal to volume…

Q: 2. The altitude of a helicopter at three different instants is listed as below: 0.3 1, sec 0.2 h, m…

A: We will solve this using 2 point forward and 2 point backward difference formula

Q: A ball is thrown upward from a height of 0.1 m at an initial speed of 36 m/sec. Acceleration…

A: Given the initial velocity of the ball is u=36 m/s, the acceleration is f=-9.8 m/s2 and was launched…

Q: Consider a falling object of mass 5 kg that experiences the drag force, which is assumed to be v =…

A: We will solve the differential equation to get velocity at time t , The for limiting velocity find…

Q: Find A, B which make the approximation. So S(x)dæ = Ahƒ(0) + Bhf() as high order as possible. With…

A: Use the following concepts, to determine the solution. The degree of precision is the largest…

Q: A 69-kg base runner begins his slide into second base when he is moving at a speed of 4.6 m/s. The…

A: given speed u=4.6 m/s coefficient of friction μ=0.70 a) How much mechanical energy is lost due to…

Q: An electrical potential at a point (x,y) on the line segment extending from (0,3) to (2,0) is given…

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Q: The volume V of a right circular cylinder of radius r and height h is V = ar?h. (a) How is 4 related…

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Q: A tank initially holds 10 gal of fresh water. at t=0, a brine solution containing 1/2 lb of salt per…

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Q: Show steps please.

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Q: A 32-lb weight stretch a spring 2ft. At t = 0, the mass is released 1 ft above the cquilibrium…

A: The solution is given below

Q: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) = , find the…

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Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = t 2 – 3t – 18,…

A: Given,           Suppose that a particle moves along a straight line with velocity defined by…

Q: A tank with capacity of 300 gal of water originally contains 200 gal of water with 100 lb of salt in…

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Q: 8. Suppose that a particle moves along a straight line with velocity defined by v(t) = t2+3t – 18,…

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Q: A body falls in a medium offering resistance proportional to the speed at any time "t". If the…

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Q: Find the total distance traveled by a particle according to the velocity function v(t) = 4t – 4…

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Q: A ball is dropped on Mars where the distance traveled is s(t) = 1.9t2 meters int seconds. Compute…

A: The average velocity over the time interval [3, 6] is:

Q: The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial…

A: Plug t=1 and t=3 then simplify. Answer(a): f(1)= 54 ft f(3)=54 ft

Q: A particle travels according to the velocity function v(t) = -2t+4 m/sec. What is the total distance…

A: Answer

Q: A particle moves along the x-axis so that at time t z(t) = -3t+ 27t2-45t +11. Determine the total…

A: Given: The position of the particle is given by, xt-3t3+27t2-45t+11

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

A: Solve the following

Q: A projectile is shot vertically upwards from the earth's surface with air resistance equal to kv-g…

A: Given, Initial velocity=u Air resistance=kv^2g if height is h then we have to prove  h=1/2kg…

Q: An object moves in one dimension with avelocity in m/s given by v(t) = 8 sin ∏t + 2t. Find its…

A: Given: The velocity of an object in m/s is given by  v(t)=8sinπt+2t Time interval is t=0 to t=10

Q: The velocity (in feet per second) of a particle moving along a line is               v(t) = t3 −…

A: Given: A velocity function v(t)=t3−10t2+29t−20, where t is the time in seconds. a. The displacement…

Q: The height of a ball t seconds after it is thrown upward from a height of 5 feet and with an initial…

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Q: •In a steam engine the pressure P and volume V of steam satisfy the equation PV4 = k, where k is a…

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