water balloon is launched from a platform 96 feet above the ground, with an initial elocity of (20, 0, 80) ft/s. A wind causes an acceleration on the water balloon to the orth of 2 ft/s². Please assume all of this is happening on Earth.

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Q: A ladder 10 feet long is resting against a wall. If the bottom of the ladder is sliding away from…

A: Let the base be x  And the perpendicular be y and length of ladder=10 feet   dxdt=1 feet/sec…

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A: Given: Diving speed of submarine, s = 15 km/min, and time of diving, t = 48 min

Q: A bucket of water weighing 100 Newtons is pulled at constant velocity up to a platform 50 feet above…

A: Total weighing of bucket of water = 100 N Lifting height h = 50 ft

Q: 16 foot ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate of…

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Q: A stone is thrown downward with an initial velocity of 5m/s from a 20-meter high building. Find the…

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Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -190 feet per…

A: Recall the popular law of motion: v2 - u2 = 2gh where v = final velocity; u = initial velocity; h =…

Q: The sides of an equilateral triangle are increasing at a rate of 12 inches per minute. At what rate…

A: Area of equilateral triangle A=/--3/4 a2 Here a = side of the equilateral triangle Differentiate A…

Q: A ladder 20 feet long resting against a vertical wall has its top slip down the wall at a rate of 2…

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Q: A golfer takes a swing from a hill twenty feet above the cup with an initial upwards velocity of 32…

A: It is given that, initial upward velocity from the hill is, v=32 feet per second, angle of swing…

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate is the area of the square…

A: Let the side of the square be 'x' cm. Therefore the area of the square is given by: A=x2

Q: A stone is thrown vertically upwards, from the edge of a 5 m tall cliff with an initial velocity of…

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Q: Suppose the sides of a cube are expanding at a rate of 2 inches per minute, How fast is the volume…

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Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -120 feet per…

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Q: A ball is thrown from the roof of a building that is 90 meters tall. The initial velocity of the…

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Q: A ladder 20 feet long leans against a vertical wall.  The bottom of the ladder slides away from the…

A: Given that, the length of the ladder is 20 feet & which lean against a vertical wall. The bottom…

Q: The radius of a spherical balloon is increasing at the rate of 2 cm per minute. How fast is the…

A: Let r be the radius of spherical ballon

Q: You are situated 600 meters from a launch pad watching the launch of a rocket. At a certain instant,…

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Q: A stone dropped into a still pond on a calm day sends out a circular ripple. If the radius increases…

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Q: A 13 foot ladder is leaning against a wall. If the top of the ladder slips down the wall ata rate of…

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Q: The base of a triangle begins to increase at a rate of 2 inches per minute while the height remains…

A: Consider the following variables, b=base of the triangleh=height of the triangleA=area of the…

Q: A 10-meter ladder is leaning against the wall of a building. It begins to slide down the wall. When…

A: Let l denote the length of the ladder leaning against the wall of a building Let x denote the…

Q: As an object cools, its rate of cooling slows. Explain how this follows from Newton’s Law of…

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Q: Air is pumped into a spherical balloon at the constant rate of 200 cubic centimeters per second. How…

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Q: What is the amount of time required for overflow to occur? What is the amount of salt in the tank at…

A: First you have to develop the differential equations and put the value of time and get the answer.

Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -110 feet per…

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Q: A projectile is shot upwards from the surface of the earth with an initial velocity of 120 meters…

A: To determine: The velocity of a projectile after 6 seconds and after 9 seconds where a projectile is…

Q: A 26 foot ladder is sliding down a vertical wall.  The base of the ladder is sliding away from the…

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Q: spherical balloon is inflated with gas at a rate of 900 cubic centimeters per minute.

A: Volume of the sphere is V=43πr3where r = radius of the sphere

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

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Q: A ball is thrown upwards with an initial velocity of 64 ft/sec from the top of a building which is…

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Q: A water balloon is launched from a platform 96 feet above the ground, with an initial velocity of…

A: The location of the water balloon when hit the ground is (120, 36, 0).

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. How fast is the surface…

A: Since, we have been given that all edges of a cube are expandingat a rate of 8 centimeters per…

Q: Sand flows out of an hourglass at a rate of 4 cubic inches per second and forms a conical pile. How…

A: Write the expression for volume of cone take the derivative with respect to time t than put the all…

Q: What constant acceleration is required to increase the speedof a car from 30 mih to 50 mih in 5 s?

A: Given: u=30 mihour, v=50 mihour, t=5 second for finding acceleration, first we convert given…

Q: A ladder 20 feet long is leaning against a vertical wall. The base of the ladder is pulled away from…

A: First we formulate an equation involving two variables x and y by using  the Pythagorean theorem…

Q: 1. The volume of a sphere is changing at 10 inches per second. How fast is the radius changing at…

A: i have solved question number 1 for next question please repost.

Q: ball is shot from the ground straight up into the air with initial velocity of 47 ft/sec. Assuming…

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Q: A 15 foot ladder is resting against a wall. The bottom is initially 10 feet away from the wall and…

A: Let: The length of the ladder be l. The top of the ladder be at a distance of y from the ground. The…

Q: A water balloon is launched from a platform 96 feet above the ground, with an initial velocity of…

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Q: A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The top of the…

A: Given: A ladder of length 13 m; dadt=0.1 m/s, dbdtb=5m=?

Q: What constant acceleration will bring an automobile traveling 60 mph to rest in 160 feet?

A: Explained below

Q: A light sits on the ground 20 feet away from a very tall wall. A 5-foot-tall person walks toward the…

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Q: A gas line-driven lawnmower has a blade that extends out 1 foot from its center. The tip of the…

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Q: A pole that is 74 feet long is leaning against a brick wall. The bottom of the pole is getting…

A: This question is related to rate of change, we will solve it using given information.

Q: A rocket is launched from an initial height of 50 feet from the ground. It has an initial upward…

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Q: All edges of a cube are expanding at a rate of 6 centimeters per second. (a) How fast is the surface…

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Q: A ball is thrown vertically upward from ground level with an initial velocity of 64 feet per second.…

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