The distance a ball rolls down an inclined plane is directly proportional to the square of the time it rolls. During the first second, the ball rolls 12 feet. a) write an equation relating the distance traveled to the time. b) How far does the ball roll during the first 3 seconds?

Q: A service wire reaches from the top of a barn which is 1 meters hight to a point on the ground 6…

A: What is the length of the wire to the nearest tenth of a meter?

Q: A rectangular field measures 72 meters by 162 meters. What will it cost to cover the field with…

A:

Q: The distance required to stop a car varies directly as the square of its speed. If it requires 200…

A: The distance is directly proportional to square of the speed. That is, d α s2⇒d=k·s2   →1  where k…

Q: Two automobiles leave a city at a time and travel along straight highways that in differ in…

A:

Q: The drag force on a boat varies jointly as the wetted surface area and the square of the velocity of…

A: Consider the provided statement. The drag force F on a  boat varies jointly as the wetted surface…

Q: Two cars leave a city at the same time and travel along straight highways that differ in direction…

A: it is given that, two cars leave a city at the same time and travel along straight highways that…

Q: 4. A wheel has a radius of 13 inches. To the nearest inch, how far does it travel in 3000…

A:

Q: The length of the shadow of your 1.6-meter height is 2.8 meters at a certain time in the afternoon.…

A:

Q: Assume that the stopping distance of a van varies directly with the square of the speed. A van…

A: Let the stopping distance by S milesthe speed of van be V miles / hourAccording to question ,S α V2S…

Q: At a construction site, a worker raises an 8-ft sheet of plywood to a platform by sliding the sheet…

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Q: In a right triangle the altitude corresponding to the hypotenuse divides the hypotenuse into an 8 cm…

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Q: One figure is similar to a second figure if the points of the first figure can be matched with the…

A:

Q: The size of the exterior angle of a polygon is inversely proportional to the sides. exterior angle…

A: Given data: The expression for the exterior angle of the polygon is A∝1/n. The given expression for…

Q: The distance that a person can see to the horizon on a clear day from a point above the surface of…

A: The distance that a person can see to the horizon on a clear day from a point above the surface of…

Q: 10. The diagonal of a television measures 27 inches. If the width of a 27-inch is 22 inches,…

A:

Q: True or False The Law of Cosines states that the square ofone side of a triangle equals the sum of…

A: True or False: The Law of Cosines states that the square of one side of a triangle equals the sum of…

Q: The diameter of the front wheels of a tractor is 0.8 m and the diameter of the back wheels is 1.1 m.…

A:

Q: The braking distance of a car varies directly as the square of the speed of that car. Assume that a…

A:

Q: At 2:00pm a car’s speedometer reads 40mph, and at 2:10pm it reads 60mph. Find the acceleration the…

A:

Q: Assume that the stopping distance of a van varies directly with the square of the speed. A van…

A: The distance varies as the square of the speed . We can expressby following formula .D=KS2 where…

Q: A square has diagonal length 9 cm. What is the side of the square, to the nearest tenth of a…

A:

Q: A triangle on the coordinate plane is dilated by a factor of 3.  What is the ratio of the pre-image…

A:

Q: A car is driving at 40 kilometers per hour. How far, in meters, does it travel in 2 seconds? meters…

A: We have given that Speed = 40 kilometer per hour  time = 2 second

Q: 4. A wheel has a radius of 13 inches. To the nearest inch, how far does it travel in 3000…

A:

Q: A car is driving at 30 kilometers per hour. How far, in meters, does it travel in 3 seconds? meters…

A:

Q: An office copy machine can make a reduction to 90%. thus making the copy slightly smaller than the…

A: An office copy machine can make a reduction to 90%. thus making the copy slightly smaller than the…

Q: What is the height of a projectile in 2 seconds if its initial height is 500 ft, and it has a…

A:

Q: 3- Finl Gmeral Salafien t

A: This is the question from the exact forms of differential equations. For detailed solution, visit…

Q: 10)The distance a pickup truck requires to stop varies directly with the square of the speed. A…

A:

Q: the

A:

Q: A car is driving at 50 kilometers per hour. How far, in meters, does it travel in 2 seconds? meters…

A: Here use conversion of unit that is kilometers to meters and hours to second

Q: The stopping distance of a car varies directly as the square of the speed of the car. If a car…

A:

Q: The cost of fuel to propel a boat through the water (in dollars per hour) is proportional to the…

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Q: The size of a computer screen is measured along the diagonal. What's the approximate size, to the…

A: Size of the computer screen is measured to be 14 inches ×11.5 inches and we need to find out the…

Q: If hearts are geometrically similar and the volume of blood pumped in one beat is proportional to…

A: Suppose the width of the heart is represented by 1. Then, the volume of the heart will be…

Q: When  anvil is dropped into a gorge, the speed with which it strikes the ground is  directly…

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Q: The amount of time it takes to fill a whirlpool tub is inversely proportional to the square of the…

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Q: The distance that a person can see to the horizon on a clear day from a point above the surface of…

A: Given: The distance that a person can see to the horizon on a clear day from a point above the…

Q: The relationship between the time elapsed and the distance traveled for three different cars is…

A:

Q: 9. If the hypotenuse of the right triangle measures 25 meters, and one leg is 17 meters more than…

A:

Q: A 19 -inch laptop has a screen that is 9 inches tall. How wide is the screen? Hint: Laptops are…

A: Given :- 19 inch laptop has a screen that is 9 inch tall

Q: identify the triangle as acute, cbtuse, or right by comparing the squares of the side lengths. Show…

A: Given query is to find the type of triangle.

Q: The surface area of a balloon varies directly as the square of its radius. The area is 1256 cm when…

A: given that A1=1256 cm square, r1=10 cm,r2=4cm,A2=? according to question surface area Aα…

Q: What is the distance, to the nearest mile, from the origin of the Nile when the riverhas an altitude…

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Q: wo planes, which are 2760 miles apart, fly toward each other. Their speeds differ by 40mph. If they…

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Q: In terms of π, how much longer is the crust on a pizza with a radius of 10 inches than the crust of…

A: The radius of one pizza is 10 inches and radius of another pizza is 5 inches. The amount of the…

Q: the stopping distance of a car varies directly as the square of its speed. If a car traveling at 30…

A: Let, d= the stopping distance of the car speed= s Given that, d=ks2  Where k = constant Given s= 30…

Q: If a person runs 4 kilometers in 0.2, at what speed are they running per hour?

A:

Q: A running track has two straight sides with length 130 m and two semicircle ends with radius 40 m.…

A: Given data: The length of side is l=130 m. Radius of semicircle is r=40 m. Number of rounds are…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.