How do you calculate the speed of a ball that bounces?

3 Answers

1. While the ball is not in contact with the ground, the height at time t after the last bounce at t0 is given by h(t+t0)=v0t−12gt2. where v0 is the velocity just after the bounce.
2. During the impact, the ball will deform and there will be friction.

When a ball bounces it rises to 34 of the height from which it fell If the ball is dropped from a height of 32 m How high will it rise at the third bounce?

Answer: The ball will bounce 13.5 m at the third bounce.

What is the height of the 6th bounce?

3rd bounce: 0.6*2.16ft =1.296 feet. 4th bounce: 0.6*1.296ft = 0.7776 feet. 5th bounce: 0.6*0.7776ft = 0.46656 feet. 6th bounce: 0.6*0.46656ft = 0.279936 feet.

What is the displacement of the ball?

Displacement is the distance between an object’s initial position and its final position and is usually measured or defined along a straight line. Since this is a calculation that measures distance, the standard unit is the meter (m).

What is the total distance Travelled by the ball after 10 bounces?

Total distance travelled by the ball = 10 + 6 + 3.6 + Hence, the total distance travelled by the ball = 25 m. Concept: Geometric Progression (G. P.)

How does drop height affect bounce height?

If the drop height increases, then the resulting bounce height will also increase, because as the drop height increases, so does the gravitational potential energy which can be converted back into kinetic energy on the rebound.

How does the velocity of the ball change when it bounces on the floor?

Stage 1: Falling Stage one is the begging of every ball bounce where potential energy from the height of the ball is converted into kinetic energy through acceleration due to gravity. This means, in essence, that for every second for falling, the ball’s velocity will accelerate by 9.8 m/s.

When a ball drops on the floor it bounces This is according to?

Newton’s third law of motion
The correct answer is Newton’s third law of motion. When a ball drops on the floor it bounces. This is according to Newton’s third law of motion.

How do you find the displacement of a ball?

1. If an object is moving with constant velocity, then.
2. Displacement = velocity x time.
3. If an object is moving with constant acceleration then the equation of third law of motion used to find displacement:
4. S = ut + ½ at²
5. S = v2−u22a.
6. If v = final velocity,
7. u = Initial velocity.
8. s = displacement.

What is the total vertical distance of the ball when dropped?

After the ball is dropped the initial 3 m, it bounces up and down a distance of 2.4 m. Each bounce after the first bounce, the ball travels 0.8 times the previous height twice — once upwards and once downwards. So, the total vertical distance is given by h =3+2 (2.4+ (2.4×0.8)+ (2.4×0.8 2)+…)=3+2×1

What is the height of the ball when it bounces?

A ball is dropped from a height of 10 feet and bounces. Each bounce is ¨ú of the height of the bounce before. Thus, after the ball hits the floor for the first time, the ball rises to a height of 10 (¨ú ) = 7.5 feet, and after it hits the second floor for the second time, it rises to a height of 7.5 (¨ú ) = 10 (¨ú )©÷ = 5.625 feet.

What happens to the ball when it hits the ground 5 times?

Calculate the total distance travelled by the ball when it hits the ground for the fifth time A ball is dropped from a height of 12 feet and returns to a height that is half the height from which it fell. the ball continues to bounce half the height of its previous bounce each time.

What is the geometric series of a bouncing ball?

The series would have no last term because theoretically there is no last bounce of the ball. For every rebound of the ball, there is another rebound, ⅔ as high. Such a geometric series is called an infinite geometric series. (How). Do geometric sequences apply to a bouncing ball?