Under ideal conditions, air pressure decreases continuously with the height above sea level at a rate proportional to the pressure at that height. The barometer reads 30 inches at sea level and 15 inches at 18,000 feet. Find the barometric pressure at 35,000 feet.

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Q: Find the rate at which the water level is rising when the water level is 2 cm.

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Q: A hot-air balloon is 140 ft above the ground when a motorcycle (traveling in a straight line on a…

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Q: A car traveling at 48 ft/sec decelerates at a constant 3 feet per second squared. How many feet does…

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Q: a man 6ft tall walks at rate 5ft/sec away from a lamppost that is 13 ft high. At what rate is the…

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Q: "A Kite 65 feet above the ground moves horizontally at a speed of 6 ft/s. At what rate is the angle…

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Q: At what rate did the temperature rise from 6 a.m. to 12 p.m.?

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Q: A balloon is 30 meters above the ground when a car, running at 40 kph, passes directly below it. It…

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Q: man 6 ft tall walks at a rate of 5 feet per second away from a light that is 15 ft above the ground.…

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Q: Two cars start moving from the same point. One travels south at 64 mi/h and the other travels west…

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Q: A car is moving at 60 mi/hr (88 ft/s) on a straight road when thedriver steps on the brake pedal and…

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Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

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Q: a 5-ft tall person walks away from a 20-ft tall streetlamp at a constant rate of 3 ft/s . at which…

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Q: A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At which rate is the angle…

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Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

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Q: . A vertical cylinder is leaking water at a rate of 1 ft /sec. If the cylinder has a height of 10 ft…

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Q: . Two cubic meters per hour of water are cooled from 30 °C to 4 °C. What is the rate of heat…

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Q: If a 250 meters long train is traveling at an average speed of 60 kph, how long it would take that…

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Q: The area of a rectangle is increasing at a rate of 4 cm/sec ? while the width of the rectangle…

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Q: A boat takes 2/3 as much time to travel downstream from C to D, as to return, If the rate of the…

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Q: The width of a rectangle is increasing at a rate of 2cm/sec, while the length increases at 3cm/sec.…

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Q: A balloon ascending at the rate of 12 ft/sec is at a height 80 ft above the ground when a package is…

A: Sol:-v0=12 ft/secHeight = h = 80 ftThen, y-y0=v0t-12gt2

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.