How fast must an object be moving to experience a wind resistance of 405.45 Newtons if it has a surface area of 34 square feet?

Q: The travel time between two cities is inversely proportional to the average speed. A train travels…

A: Let us suppose that s is the speed and t is the time. Since the travel time between two cities is…

Q: A boat can travel 26 mph in still water. If the boat can travel 100 miles with the current in the…

A: Consider the speed of boat is v=26 mph. The distance that the boat can travel with the current is…

Q: The value of a building lot on a certain island is jointly proportional to its area and the quantity…

A: V = value of building A=Area  Q= Quantity of water produced. According to question,

Q: When a constant force is applied to an object, the acceleration of the object varies inversely with…

A:

Q: man goes upstream at 6 km/h and the rate of the stream is 2 km/h, then the man’s speed is still…

A:

Q: If a 1600 foot bridge weighing 2100 tons supports 1400 tons, find the constant of proportionality k.…

A: Given:The weight a suspension bridge can support (B) = 2100 tonsBridge’s total length (l) = 1600…

Q: On a given planet, the weight of an object varies directly with the mass of the object. Suppose that…

A:

Q: The weight, M, of an astronaut on the moon is directly proportional to the weight, E, on Earth. An…

A: Weight on moon will be 12 Kg.

Q: The height of a right circular cylinder is 50 inches and decreases at the rate of 4 inches per…

A:

Q: The work W required to lift an object varies jointly with the object’s mass m and the height h that…

A: Given: The work W required to lift an object varies jointly with the object’s mass m and the height…

Q: the distance a jet travels varies directly with the number of hours flown. A jet travels 1,350 miles…

A: From the given data

Q: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve…

A: Let F, r, w and s be the force needed, radius of the curve, weight of the car and speed of the car…

Q: The maximum range of a projectile is directly proportional to the square of its velocity. A baseball…

A:

Q: The number of kilograms of water in the human body varies directly with the mass of the human. A…

A:

Q: The amount of water used to take a shower is directly proportional to the amount of time that the…

A: This question is based on the concept of direct proportion Amount of water(w) is directly…

Q: A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient…

A: A patient weighing 132 pounds requires 143 milligrams of medicine. So, patient weighing 1 pounds…

Q: A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patlent…

A: A certain medicine is given in an amount proportional to a patient's body weight.Suppose a patient…

Q: In year 1931, the population of Sri Lanka is 24M. in 1945, its population rise to 82M. Assuming that…

A:

Q: A force, f, varies inversely with the square of the distance, d, from an object.

A:

Q: on a given planet , the weight of an object varies directly with the mass of the object. suppose…

A:

Q: The velocity V of a free-falling object is directly proportional to the time T (in seconds) that the…

A: Given:

Q: The work W required to lift an object varies jointly with the object's mass m and the height h that…

A: Here, W=k*m*h The work required to lift a 120-kilogram object 1.8 meters is 2116.8 joules. So,…

Q: The population of a city doubles in 50 years. How many years will it be four times as much? Assume…

A: In this question, we want to know that in how many years the population will be four times using the…

Q: The time it takes to travel a certain distance varies inversely with the rate of speed. It takes 8…

A: Given (13) The deposited amount is directly proportional to the interest received. The deposited…

Q: When a constant force is applied to an object, the acceleration of the object varies inversely with…

A: given that constant force is applied upon an object of mass 6kg the acceleration of the object is…

Q: The volume of a box (V) varies directly with its length (). If the box has a volume of 360 cubic…

A: Volume ×length   v×l

Q: The legs of an elephant are much thicker in proportion to its body than the legs of a mouse. This is…

A:

Q: For a car moving at a constant speed the distance traveled varies directly. with the time spent…

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Q: The amount of gas that a helicopter uses is directly proportional to the number of hours spent…

A: The amount of gas that a helicopter uses is directly proportional to the number of hours spent…

Q: On a given planet, the weight of an object varies directly with the mass of the object. Suppose that…

A: This question can be solved using the concept of proportionality

Q: For an object moving in a circular orbit under gravity, the radius of the orbit is inversely…

A:

Q: The illumination of an object by a light source is directly proportional to the strength of the…

A: The illumination of an object by a light source is directly proportional to the strength of the…

Q: The length a spring stretches is directly proportional to the force applied. If a force of 8 pounds…

A: The length a spring stretches is directly proportional to the force applied. A force of 8 pounds…

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

A:

Q: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve…

A: Given: The Force (F) that is needed to keep a car from skidding on a curve varies inversely as the…

Q: A Norfolk pine is 18 inches tall and grows at a rate of 1.5 feet per year. An airplane at an…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: When a constant force acts upon an object, the acceleration of the object varies inversely with its…

A: Algebra Question

Q: Fiona adds Ib of fertilizer for every 12 Ib of peat moss. What is the constant of proportionality…

A: The constant of proportionality is the ratio of two directly proportional quantities. Two quantities…

Q: car traveling at 45 ft/sec decelerates at a constant 7 feet per second per second. How many feet…

A: Given initial velocity (u)=45 ft/secFinal velocity, as brakes are applied (V)=0Acceleration=-7…

Q: The number of gallons(g) in a circular swimming pool is jointly proportional to the square of the…

A: Given: The number of gallons(g) in a circular swimming pool is jointly proportional to the square of…

Q: The depth of a diver is directly proportional to the time since the diver entered the water. If it…

A: Given that , the depth of diver is directly proportional to the time.

Q: Of the 2000 passengers, crew, and staff that boarded a cruise ship, 8 have the flu. After one day of…

A: Given: Of the 2000 passengers, crew, and staff that boarded a cruise ship, 8 have the flu. After one…

Q: The volume of a gas is inversely proportional to the pressure. If a pressure of 18 pounds per square…

A:

Q: A motorboat heads upstream a distance of 24 miles on a river whose current is running at 3 miles per…

A: Let the speed of the boat in still water be x mi/hr. Speed of boat in upstream = x - 3 mi/hr and in…

Q: The number of widgets that a manufacturing plant can produce varies jointly with the number of…

A: The number of widgets that a manufacturing plant can produce varies jointly with the number of…

Q: The amount of gas that a helicopter uses is directly proportional to the number of hours spent…

A: Given data is: The helicopter flies for 2 hours and uses 12 gallons.

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A: As per Bartleby guidelines rule I am answering only first question as both question is not a subpart…

Q: The population of the United States was 3.9 million in 1790 and 178 million In 1960. If the rate of…

A: Given,           The population of the United States was 3.9 million in 1790 and 178 million in…

Q: The weight of an airplane including cargo varies as the square of the velocity and the…

A: NOTE: Refresh your page if you can't see any equations. . w=weight  v=velocity A=area . The weight…

Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A:

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.