Home
Class 12
MATHS
An airforce plane is ascending verticall...

An airforce plane is ascending vertically at the rate of 100 km/h. If the radius of the earth is km, how fast is the area of the earth, visible from the plane, increasing at 3 minutes after it started ascending? Given that the visible area at height is given by

Text Solution

Verified by Experts

The correct Answer is:
`(200pi^(3))/((r+5)^(2))km^(2)//h`
Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|6 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|10 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise SINGLE OPTION CORRECT TYPE QUESTIONS|9 Videos
  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 10|4 Videos
  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

Similar Questions

Explore conceptually related problems

An airforce plane is ascending vertically at the rate of 100 km/h. If the radius of the earth is rk m , how fast is the area of the earth, visible from the plane, increasing at 3 minutes after it started ascending? Given that the visible area A at height h is given by A=2pir^2h/(r+h) .

An airforce plane is ascending vertically at the rate of 100 km/h. If the radius of the earth is rk m , how fast is the area of the earth, visible from the plane, increasing at 3 minutes after it started ascending? Given that the visible area A at height h is given by A=2pir^2h/(r+h) .

A satellite is a at height of 25, 600 km from the surface of the earth. If its orbital speed is 3.536 km/s find its time period. (Radius of the earth = 6400 km)

A helicopter is ascending vertically with a speed of 8.0 "ms"^(-1) . At a height of 12 m above the earth, a package is dropped from a window. How much time does it take for the package to reach the ground ?

An earth satellite of mass m revolves in a circular orbit at a height h from the surface of the earth. R is the radius of the earth and g is acceleration due to gravity at the surface of the earth. The velocity of the satellite in the orbit is given by

Sand is being poured onto a conical pile at the constant rate of 50 cm^3 per minute such that the height of the cone is always ontee half of the radius of its base. How fast is the height of the pile increasing when the sand is 5 cm deep.

A satellite is projected vertically upwards from an earth station. At what height above the earth's surface will the force on the satellite due to the earth be reduced to half its value at the earth station? (Radius of the earth is 6400 km.)

A plane with a wing span of 18 m flies horizontally at a speed of 800 km/h. The vertical component of the Earth's magnetic field strength is about 40 A/m. Find the voltage across the tips of the wings.

Assuming the earth to be a sphere of radius 6370 km, how many square kilometres is area of the land, if three-fourth of the earth’s surface is covered by water?

Assuming the earth to be a sphere of radius 6370 km, how many square kilometres is area of the land, if three-fourth of the earths surface is covered by water?