Linear Velocity A point moving on the circumference of a circle covers 5 feet every20 seconds. Find the linear velocity of the point.

Q: balloon rises at the rate of 8 feet per second from a point on the ground 110 feet from an observer.…

A: Given query is to find the rate of change of angle.

Q: The radius of a sphere is increasing at a rate of 20 inches per minute. Find the rate of change of…

A: Given : The increasing radius of the sphere is drdt=20. To find the rate of change of volume of a…

Q: A lighthouse lies 200 metres from a straight shore. The light rotates at a rate of 2 revolutions per…

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Q: A line passes through the points (-3, 8) and (1, -12). Part A: Determine the rate of change.

A: Rate of change is the slope of the line To find the slope of a line using two given points , use…

Q: DETERMINE THE SLOPE OF THE TANGENT LINE TO THE CURVE y=2 – x2 at the point (3,-7)

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Q: Velocity at the Equator Assuming the radius of the earth is 4,000 miles, use the infor-mation from…

A: The earth rotates through one complete revolution every 24 hours and the radius of earth is 4000…

Q: A Ferris wheel has a radius of 30 feet. It rotates at revolutions per minute. Find the linear speed…

A: Given Radius(r)= 30 feet No. of rotation of wheel per min (n)=23

Q: = gradient at the poir

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Q: equation of the line that is tangent to the circle

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Q: A rotating light is located 10 feet from a wall. The light completes one rotation every 2 seconds.…

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Q: TA ladder 20 ft. long leans against a house. When it is 16 ft. from the house, find the rate at…

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Q: 2.Two ships A and B leave port at the same time. The angle between their paths is 120°, and remains…

A: Law of cosine =>c2 = a2 + b2 – 2ab cos C  where a,b, and c are the sides of the triangle. C is…

Q: A rotating light is located 17 feet from a wall. The light completes one rotation every 5 seconds.…

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Q: The radius of a sphere is increasing at a rate of 3 inches per minute. Find the rate of change of…

A: Given, drdt = 3 inchmindVdt = ?    when r = 10 inches.

Q: A car drives south at 20 mi/hr. Another car, starting from the same point at the same time and…

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Q: The radius of a sphere is increasing at a rate of 4 inches per minute. Find the rate of change of…

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Q: A conical tank (with vertex down) you is 10 feet across the top and 12 feet deep. If water is…

A: we are using  Diameter = d                            height = H          rate of change of volume…

Q: The radius of a sphere is increasing at a rate of 4 inches per minute. Find the rate of change of…

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Q: A projectile is fired with an initial speed of 200 ms and angle of elevation 600 . Find (a) the…

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Q: A rotating light is located 17 feet from a wall. The light completes one rotation every 2 seconds.…

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Q: A rotating light is located 14 feet from a wall. The light completes one rotation every 2 seconds.…

A: The distance from the point closest to the light is           d=14 fttanα where α is the angle from…

Q: Horizontal Velocity = Vertical Velocity = Speed =

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Q: A ballistic missile is fired using a vertical launching system from a silo (launch site). The…

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Q: A rotating light is located 19 feet from a wall. The light completes one rotation every 2 seconds.…

A: We have to find the rate at which the light projected onto the wall is moving along the wall when…

Q: A particle travels according to the velocity function shown below, where velocity is measured in…

A: displacement = ∫v(t)=∫01(-2t-1)dt + ∫13(2t-5)dt=-2t22-t01 + 2t22-5t13

Q: is being emptied at the rate of 2 cubic feet per second. The height of the cone is 8 feet and the…

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Q: A rotating light is located 19 feet from a wall. The light completes one rotation every 5 seconds.…

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Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of…

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Q: A DVD has a radius of approximately 2.5 inches and rotates at 1600 rev/min. Find the linear velocity…

A: We know that v=ωr  where v is the linear speed and ω is the angular speed For a point on the edge of…

Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of…

A: Let r be the radius and V be the volume of Sphere drdt=2 inches/min radius = r = 9 inches V=43πr3

Q: A rotating light is located 16 feet from a wall. The light completes one rotation every 2 seconds.…

A: A rotating light is located 16 feet from a wall. The light completes one rotation every 2 seconds.…

Q: A rotating light is located 18 feet from a wall. The light completes one rotation every 4 seconds.…

A: Given : A rotating light is located 18 feet from a wall say dist (AB)=18 feet The light completes…

Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of…

A: V= 43πr3 Here V is the volume and r is the radius.

Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of…

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Q: A rotating light is located 11 feet from a wall. The light completes one rotation every 4 seconds.…

A: To solve this problem we will use the following steps: 1.) We will assumed the distances of the…

Q: A river flows southeast at 20 km/hr and a boat flows upon it with its bow pointed in the direction…

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Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of…

A: Given ;  The radius of a sphere is increasing at a rate of 2 inches per minute.

Q: The propeller of an airplane has a radius of 3 feet. The propeller is rotating at 2250 revolutions…

A: Given that the radius of propeller (r) = 3 feet The propeller is rotating at 2250 revolutions per…

Q: A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters from an…

A: A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters from an…

Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of…

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Q: A rotating light is located 19 feet from a wall. The light completes one rotation every 5 seconds.…

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Q: A rotating light is located 19 feet from a wall. The light completes one rotation every 2 seconds.…

A: Given: The angle of light from perpendicular to the wall is given as θ=25° Also given that the light…

Q: 3. An airplane flies at an altitude of 5 miles toward a point directly over an observer. The speed…

A: Solve for the rate of change of the angle of elevation

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

A: We know that integration of V(t) gives DisplacementTherefore, ∫(t2-2t-3)dtWe know that ∫xn…

Q: Straight line (What is its equation?)

A: straight line: the general equation of a straight line is y=mx+c where m is a gradient and y=c is…

Q: At a certain moment, an object in linear motion has velocity 94 m/s. Estimate the distance traveled…

A: velocity =94m/sec

Q: What is the linear velocity of the Ferris wheel in inches per second?

A: Linear velocity of wheel = circumference of the circle × angular velocity.

Q: A merry-go-round makes 8 revolutions per minute. Find the linear speed, in feet per minute, of a…

A: From the given data: