When a ball bounces it rises to 2/3 of the height from which it fell If the ball is dropped from a height of 36 m How high will it rise at the third bounce?

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

How far has the ball Travelled when it hits the ground for the nth time?

70 feet
32 ft/sec2. Let dn be the distance (in feet) the ball has traveled when it hits the floor for the nth time, and let tn be the time (in seconds) it takes the ball to hit the floor for the nth time. = 70. The ball travels a total vertical distance of 70 feet!

How do you find the bounce of an object?

The simplest way to determine how the ball bounces is to film the bounce and then measure what happens from the film. The ratio of the vertical speed after the bounce to that before the bounce is called the COR (Coefficient of Restitution).

What is a bounce height?

The “height of bounce” is the distance from the table top to the bottom of the ball on the first bounce. (Practice a few times to make an accurate observation. Record the height that the ball bounced on the data table.

How does the drop height of a ball affect bounce?

When you drop a ball from a greater height, it has more kinetic energy just before it hits the floor and stores more energy during the bounce—it dents farther as it comes to a stop. The balls are shown at rest, about to bounce back up.

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.

What happens when a ball bounces?

Let’s see if physics can explain what happens. When a bouncing ball falls, it initially gains speed or kinetic energy—the energy of motion. The ball slows down, deforms temporarily and shoots back up. The air in the ball acts like a spring—it gets compressed and expands again.

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

How do you find the total distance travel of a bounce?

To find the total distance travel one has to sum over up to n = 3. But there is little subtle point here. For the first bounce ( n = 1 ), the ball has only travel H and not 2H. For subsequent bounces ( n = 2, 3, 4, 5…… ), the distance travel is 2 × ( 3 / 4) n × H the ball falls and rebounds to 3/4 of the height it is falling.

How high does the ball rise after it hits the floor?

After the ball has hit the floor for the first time it rises 10. feet and then drops the same distance. Note that it is easy to see that it takes the same time for the ball to rise to its maximum height as it takes the ball to return to the ground. Consequently

How much time does it take for a ball to bounce?

Each complete bounce that follows takes 0.8 times as long as the preceding bounce. Estimate the total amount of time that the ball bounces. a. The ball is dropped from a height of 5 meters, bounces back up 0.65 (5) or 3.25 meters, falls 3.25 meters, bounces back up 0.65 (3.25) or 2.1125 meters, falls 2.1125 meters, and so on.