Introduction

The paper is an essay that will give a discussion on the bouncing ball project that was an experiment in the physic laboratory. The article will specifically give a paraphrase of the bouncing ball project according to the experiment.

The main objective or rather the purpose of the experiment is to determine the relationship between time and height which is represented by the arithmetic symbol , which in broader perspective we would like to see whether time is either directly proportional or inversely proportional to height.

From the experiment or rather the project the equipment that were used are such as a tennis ball that was used as a bouncing ball, measuring tape which was pinned on the wall to determine the height of the wall which in our case was 3m. On the other hand, the stop watch served the purpose of recording every six readings to determine the time taken for each bounce from 0.5m to 3m.

The above representation was the experiment outcomes as it was undertaken in the physics laboratory and the function of the graph would be h=Kt^{2}, whereby t represents the variable time, K is the gradient and lastly H represents the variable height. The graph of the experiment therefore takes the shape below.

From the graph we can therefore conclude that time taken for six bounces of the ball is directly proportional to the dropping height of the bouncing ball.

Calculation.

Height = 3-0.5 (cm) = 2.5 cm

Time for six bounces are 6 seconds

In finding the gradient or rather the slope we therefore make K the subject of the formula which from the formula:

H=Kt^{2}

Time (t^{2}) = H/K…… (1)

K (slope or gradient) = H(height)/Time(t^{2}) ……. (2)

Therefore, from our experiment **= k = 2.5cm/6 ^{2}s**

Hence, the calculation becomes **0.0694 cms ^{-2}**

Conclusion

From the experiment we therefore come to a conclusion that the time of six bounces of a bouncing ball is directly proportional to the dropping height of the bouncing ball.

Reference

Tufillaro, N.B. and Albano, A.M., 2006. Chaotic dynamics of a bouncing ball. *Am. J. Phys*, *54*(10), pp.939-944.