1.
A body freely falling from rest has a velocity after it falls through distance . The distance it has to fall down further for its velocity to become double is
2.
Four marbles are dropped from the top of a tower one after the other with an interval of one second. The first one reaches the ground 4 seconds. When the first one reaches the ground the distances between the first and second, the second and third and the third and forth will be respectively
3.
A particle starts from the origin and moves along the -axis such that the velocity at any instant is given by , where is in second and velocity is in . What is the acceleration of the particle when it is 2 m from the origin?