*A ball is dropped from a viscous fluid frcm rest with a resisting force numerically equal to 0.01V where v is the velocity in m/s. The mass of the ball is 3 kg. find the velocity of the ball at any time t.

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A: To find the rate at which the side length of cube changed when side is equal to 8 m/s

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Q: (6) A particle is thrown vertically upwards in the air The distance it covers in time t is given by…

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Q: A ball having mass m falls from a tower with heigh h from the ground. The velocity of the ball…

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t…

A: Given: vt=3t-7  ,0≤t≤4 Graph of the function:

Q: 226. Suppose that a particle moves along a straight line with acceleration defined by a(t) = t – 3,…

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Q: A particle has velocity v(t) = 3t² – 2t – 1, measured in meters per second. Compute the displacement…

A: A  particle has velocity  vt=3t2-2t-1, measuredin meters per second, compute  the displacement  of…

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Q: A ball is thrown upward from 3 points the ground. The initial velocity is 15 m/s. Calculate the…

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Q: 87 KL The torsional rigidity of a length of wire is obtained from the formula E = where T'R* K is…

A: topic - percentage change

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A: We have, an object is thrown upward at time t=0. After t seconds, its height is given as…

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Q: Suppose a spherical balloon grows in such a way that after t seconds, its volume V is given by V = 4…

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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: An object experiences acceleration as given by: a(t) = e3t – 2, v(0) = 1 and y(0) = 3 %3D Determine…

A: We can solve this question and find the value of displacement and velocity as below

Q: (b) (i) The measurement of the edge of a cube is found to be 15 inches, with a possible error 0.03…

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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: v(t) = 90 − 32·t.

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Q: A ball is thrown straight up from the ground. If the ball is to reach a max height of 64 feet, what…

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Q: dC = 8 – In(t? – 2t +4), 0<i512 where t dt A body assimilates a 12-hour cold tablet at a rate…

A: Here, we have  dCdt=8-ln(t2-2t+4) ⇒dC=[8-ln(t2-2t+4)]dt⇒∫0Cnet1·dC=∫t=0t=12[8-ln(t2-2t+4)]dt Thus,…

Q: The free-fall acceleration on the surface of the Moon is about one-sixth that on the surface of the…

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Q: Use the differential dV to estimate the change in volume of a cube when the side length changes from…

A: We need to use the formula for differential to estimate the change in volume when side of the cube…

Q: As above, a particle has velocity v(t) = 3t² – 2t – 1, measured in meters per second. Now compute…

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Q: he acceleration due to gravity is 9.8 m/sec. A rock was thrown vertically upward from the ground…

A: Given that the acceleration due to gravity is 9.8 m/s2 and a rock was thrown vertically upward from…

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Q: 2GM The escape velocity from a planet of radius R is v(R) = %| where G is the universal…

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Q: e surface area of a sphere increases at a rate of 90 m2/sec Then the rate at which the radius…

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Q: Find the displacement of a particle moving in a straight line with velocity v(t) = 16t – 8 m/s over…

A: Topic = Application of integration

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

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Q: (8) A particle is thrown vertically upwards in the air. The distance it covers in time t i gi =(t) =…

A: Here it is given that,  the distance covers in time t is  given by, s(t)=ut-12gt2…

Q: Water is flowing into a cylinder tank at the rate of 2 m3/min. If radius of tank is 0.5 m. How fast…

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Q: 7. A body of mass 1 slug is dropped with an initial velocity of 1 ft/sec and encounters a force due…

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Q: An object experiences acceleration as given by: a(t) = e3t – 2 , v(0) = 1 and y(0) = 3 Determine the…

A: Given,          An object experiences acceleration as given by :          at=e3t-2 , v0=1 and y0=3

Q: An object with an initial velocity of 10 m/s undergoes an acceleration of a(t) = 6t + 6 m/s“, t…

A: the equation of acceleration is given by to find the equation of velocity take integration