Do you think it is important to understand materials and their properties, especially in the design of a ball used in a game? Well, imagine being the goalie in a soccer game that uses a bowling ball instead of a soccer ball. Description of different graph types line, scatter, bar, pie. Nice example pictures. This is a link to an online game that teaches mean, median, and mode. Allows children to create graphs and experiments with probability. The first time you drop the ball do not take a measurement, just watch where the ball goes so the next time the observer knows where to look.
This help to greatly increase the accuracy of the experiment. Drop a ball from 1 foot off of the floor, slightly in front of a yardstick. Measure the height the ball reaches after the first bounce and record. Do this test for each ball and record data. To increase accuracy, you may repeat each test three times and divide by 3 to find an average.
Drop a ball from a height of 3 ft, timing from when the ball is released until the ball stops bouncing. Record the time. Repeat this test for each ball. Talk with the students about coming up with a system for releasing the ball and starting the stop watch. Possible suggestions are to have the same student drop the ball and start the watch, or have the two students count down from five.
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Summary Many of today's popular sports are based around the use of balls, yet none of the balls are completely alike. In fact, they are all designed with specific characteristics in mind and are quite varied. Students investigate different balls' abilities to bounce and represent the data they collect graphically.
Engineering Connection Materials scientists and engineers identify the properties of many different materials and recommend their best uses.
Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step "how many more" and "how many less" problems using information presented in scaled bar graphs. Does the ball bounce back to approximately the same height each time? Repeat the test with the smaller ball. Do you think it will bounce higher or lower then the larger ball? How high does this ball bounce back? Repeat a couple more times.
Are your results consistent? Do you think the ball can bounce back higher than the height at which you released it? Hold the larger ball in front of you at shoulder height like you did initially. Place the smaller ball on top of the larger ball so they just touch, and hold it there. You might need a helper to hold the balls in place. In a moment, you will release the two balls at the same time.
What do you think will happen? Will the larger fall faster or will both stay together as they fall? How will they bounce back? Will a ball bounce higher, the same or lower than before? Try it out and observe. You might need to try a couple of times to get the timing right. Was your prediction correct?
Can you explain what you observe? Repeat previous step a couple more times. Are the results consistent? Was the top ball the smaller one heavier or lighter than the bottom ball?
Hold the smaller ball in front of you at shoulder height like you did initially and place the larger ball on top. What do you think will happen when you release both balls at the same time? Perform the test a few times. Can you explain your observations?
Note that although before the larger bottom ball was probably heavier than the smaller top one, this time the top ball is heavier. Extra: If you have more balls available, try other combinations such as a ping-pong ball on a basketball or a tennis ball. If you can, try stacking three balls, such as a ping-pong ball on top of a tennis ball that is resting on a basketball, and release all at the same time.
Be sure you have lots of free space for the balls to fly! Extra : If you would like a detailed view of what happens, you can use a camera to film the experiment. Later, you can study the moving balls on a screen in slow motion.
Note that you can calculate the speed in meters per second at which a ball travels in the video. Measure the height of the ball from the ground to the bottom of the ball. Calculate the potential energy of the ball before it was dropped and then when it reaches its maximum bounce height.
Then calculate the energy lost to the bounce. Vertical ball rebound is a measure of how high a soccer ball will bounce after impacting the synthetic turf surface. That distance is recorded as the ball rebound height. The test is conducted five times in each testing location and the average results are calculated. 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.
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. Just using these two measurements, I can find the rebound ratio. We now know that this ball has a To calculate the ratio of an amount we divide the amount by the total number of parts in the ratio and then multiply this answer by the original ratio.
Step 1 is to work out the total number of parts in the ratio. Exponential decay occurs when a population declines at a consistent rate.
The corresponding series can be written as the sum of the two infinite geometric series: one series that represents the distance the ball travels when falling and one series that represents the distance the ball travels when bouncing back up. You can use sigma notation to represent an infinite series. The infinity symbol that placed above the sigma notation indicates that the series is infinite. To find the sum of the above infinite geometric series, first check if the sum exists by using the value of r.
Here, when the ball is dropped, it bounces back to two third of the height it is dropped from and then goes back. So, in other words it covers two third of its height or 96 ft 2 times i. If a is positive and b is greater than 1 , then it is exponential growth. If a is positive and b is less than 1 but greater than 0 , then it is exponential decay.
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