A particle starting from a rest moves vertically upward from the surface of earth under an external (veriable ) force `bar F= (2- alpha z)mg hat k`. Find the value of maximum height it reaches

A particle is projected vertically upwards the surface of the earth (radius R_(e)) with a speed equal to one fourth of escape velocity what is the maximum height attained by it from the surface of the earth?

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)

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)

A particle is fired vertically upwards from the surface of earth and reaches a height 6400 km. Find the initial velocity of the particle if R = 6400 km and g at the surface of earth is 10 m//s^(2) .

A particle is projected vertically upwards from the surface of earth (radius R) with a kinetic energy equal to half of the minimum value needed for it to escape. The height to which it rises above the surface of earth is

A particle is throws vertically upwards from the surface of earth and it reaches to a maximum height equal to the radius of earth. The radio of the velocity of projection to the escape velocity on the surface of earth is

A body is projected vertically upwards from the surface of earth with a velocity equal to half the escape velocity. If R be the radius of earth, maximum height attained by the body from the surface of earth is ( R)/(n) . Find the value of n.

A body is projected vertically upward from the surface of earth with a velocity sufficient to carry it to initially. Calculate the time taken by it to reach height h .

Three particles are projected vertically upward from a point on the surface of the earth with velocities sqrt(2gR//3) , sqrt(gR) , sqrt(4gR//3) surface of the earth. The maximum heights attained are respectively h_(1),h_(2),h_(3) .

Two particles are projected vertically upwards from the surface of the earth with velocities upsilon_(1) = sqrt((2gR)/3) and upsilon_(2) = sqrt((4gR)/(3)) respectively. If the maximum heights attained by the two particles are h_(1) and h_(2) respectively, then calculate the ratio (h_1)/(h_2) .