On the pole of the Earth a body is imparted velocity `v_0` directed vertically up. Knowing the radius of the Earth and the free-fall acceleration on its surface, find the height to which the body will ascend. The air drag is to be neglected.

A body is projected vertically upward from the surface of the earth, then the velocity-time graph is:-

At what height over the Earth's pole the free-fall acceleration decreases by one per cent, by half?

A particle is projected vertically upwards with a velocity sqrt(gR) , where R denotes the radius of the earth and g the acceleration due to gravity on the surface of the earth. Then the maximum height ascended by the particle is

A body of mass m is from surface of the earth projected vertically upwards with a velocity such that it rises to a height of 20 m. If the same body is projected with same velocity from a planet density is (1)/(4) th of density of earth and radius is (1)/(2) of that of Earth, then find the height to which the body will rise on the planet.

A body is projected vertically up from surface of the earth with a velocity half of escape velocity. The ratio of its maximum height of ascent and radius of earth is

A body projected from the surface of the earth attains a height equal to the radius of the earth. The velocity with which the body was projected is

As it falls, the acceleration of a body dropped from the height equal to that of radius of earth,

An artificial satellite is launched into a circular orbit around the Earth with velocity v relative to the reference frame moving translationally and fixed to the Earth's rotation axis. Find the distance from the satellite to the Earth's surface. The radius of the Earth and the free-fall acceleration on its surface are supposed to be known.

A projectile is fired vertically upwards from the surface of the earth with a velocity Kv_(e) , where v_(e) is the escape velocity and Klt1 .If R is the radius of the earth, the maximum height to which it will rise measured from the centre of the earth will be (neglect air resistance)