An object start sliding on a frictionless inclined plane and from same height another object start falling freely

A particle starts sliding down a frictionless inclined plane. If S_(n) is the distance travelled by it from time t = n-1 sec , to t = n sec , the ratio (S_(n))/(s_(n+1)) is

A particle starts sliding down a frictionless inclined plane. If S_(n) is the distance travelled by it from time t = n-1 sec , to t = n sec , the ratio (S_(n))/(s_(n+1)) is

A particle starts sliding down a frictionless inclined plane. If S_(n) is the distance travelled by it from time t = n-1 sec , to t = n sec , the ratio (S_(n))/(s_(n+1)) is

A particle starts sliding down a frictionless inclined plane. If S_(n) is the distance travelled by it from time t = n-1 sec , to t = n sec , the ratio (S_(n))/(s_(n+1)) is

A solid cylinder at rest at top of an inclined plane of height 2.7 m, rolls down without slipping. If the same cylinder has to slide down a frictionless inclined plane and acquire the same velocity as that acquired by centre of mass of rolling cylinder, at the bottom of inclined plane, the height of the inclined plane should be

The speed of an object sliding in an inclined plane at the bottom is

A solid cylinder at rest at top of an inclined plane of height 2.7 m rolls down without slipping. If the same cylinder has to slide down a frictionless inclined plane and acquires the same velocity as that acquired by centre of mass of rolling cylinder at the bottom of the incline, what should be the height of the inclined plane?

A solid cylinder at rest at top of an inclined plane of height 2.7 m rolls down without slipping. If the same cylinder has to slide down a frictionless inclined plane and acquires the same velocity as that acquired by centre of mass of rolling cylinder at the bottom of the incline, what should be the height of inclined plane?

(a) Show that the velocity acquired by a particle in sliding down an inclined plane is the same as that acquired by a particle falling freely from frst though a distance equal to the height of the inclined plane. (b) Find the time taken in sliding a particle down the whole length of the incline.