How does the drop height of a ball affect the height of its bounce?

Answer 1

The higher the height at which the ball is dropped from, the higher the ball bounces. Look at it in terms of energy. Initially, before the ball is dropped, the ball's potential energy, E is given by E = mgh, where m is the mass of the ball, g is the gravitational acceleration and h is the height of the ball. When the ball is dropped, the potential energy is converted to kinetic energy, and at the point of impact, , i.e. when the ball is level with the ground, and h = 0, the kinetic energy is E, given by E = 0.5mv2, where v is the velocity of the ball. The ball hits the ground, and rises again - its kinetic energy is being converted back to potential energy. The ground absorbs some of the energy upon impact, but most of the energy stays with the ball. So the kinetic energy is converted to potential energy, and once all of the kinetic energy is converted, the ball reaches its maximum height. Clearly, a higher kinetic energy corresponds to a higher bounce height. 0.5mv2 = mgh The amount of energy that the ground absorbs does not change much with the height of the ball as well.
As the drop-height increases, the bounce-height too will increase, but not always in direct proportion. The efficiency will decrease as the drop height is increased.

Answer 2

there's a term called coefficient of restitution that is a mutual property of the two surfaces(here the ball and the ground) which will come in contact due to collision.In case of perfectly elastic collision,all the potential energy possesed by the ball at the height from where it is dropped, is completely converted into kinetic as it reaches the ground. During collision,no energy is lost as heat/sound.So, after collision,the ball rises to the initial height since it has same energy as before. In reality, we can't have perfectly elastic collision(for perfectly elastic collision,coeff. of restitution=1).Some energy is lost during collision and the ball after collision rises upto a height corresponding to its left up energy.

Answer 3

The amount of energy given to the ball by gravity is directly proportional to its height of dropping. Typically, a ball will bounce to a certain percentage of its drop-height. So (within limits) higher drop-height means higher bounce.

Answer 4

They higher the point at which it's dropped the higher it will bounce.

Answer 5

Certainly, try bouncing a rubber ball on the beach. For that matter, try bouncing it off the ocean.

Answer 6

It bepends on the elasticity and mass of the object and the gravity ofthe area and the medium through Which the object in question is traveling

Answer 7

its weight aslo effects the bounce its weight aslo effects the bounce