The student identifies the independent variable as the internal pressure of the basketball in kilopascals, ranging from 110 to 220 in increments of 10. The dependent variable is the initial rebound height of the basketball, which is measured directly. The research question asks how the internal pressure affects the initial rebound height.

The student explains that the internal pressure of the basketball will be analyzed by examining its effect on the initial rebound height, which will be measured using digital recording. This method shows how the analysis will be carried out, highlighting the relationship between internal pressure and rebound height. Using digital recording provides clarity and precision in data collection.

The student provides a thorough background on the relationship between internal pressure and the elasticity of a basketball. The explanation of the coefficient of restitution and its importance in measuring elasticity is clear. The student also integrates the ideal gas law and Pascal's law to develop a theoretical basis for the hypothesis, showing an understanding of the relevant scientific principles. References to existing studies, particularly those by Osman and Kim, support the context and depth of the theoretical framework.

The student provides a thorough background on the relationship between internal pressure and the elasticity of a basketball. The explanation of the coefficient of restitution and its importance in measuring elasticity is clear. The student also integrates the ideal gas law and Pascal's law to develop a theoretical basis for the hypothesis, showing an understanding of the relevant scientific principles. References to existing studies, particularly those by Osman and Kim, support the context and depth of the theoretical framework.

The student provides a thorough background on the relationship between internal pressure and the elasticity of a basketball. The explanation of the coefficient of restitution and its importance in measuring elasticity is clear. The student also integrates the ideal gas law and Pascal's law to develop a theoretical basis for the hypothesis, showing an understanding of the relevant scientific principles. References to existing studies, particularly those by Osman and Kim, support the context and depth of the theoretical framework.

The student explains the choice of variables in the IA. The independent variable, the internal pressure of the basketball, is manipulated within a range of 110 to 220 kPa, with the lower limit justified by atmospheric pressure considerations. The method for measuring the dependent variable, the first rebound height, is described, including the use of a slow-motion camera at 120Hz to obtain accurate measurements.

The student does not provide a clear explanation of the choice of sampling technique used for the internal pressure values. To improve, the student should include a rationale for selecting the specific pressure values, such as 110, 120, 130, and so on, and explain how these relate to the objectives of the investigation. Additionally, mentioning any preliminary trials or research that informed these choices would demonstrate a more systematic approach to designing the experiment.

The student does not provide a clear explanation of the choice of sampling technique used for the internal pressure values. To improve, the student should include a rationale for selecting the specific pressure values, such as 110, 120, 130, and so on, and explain how these relate to the objectives of the investigation. Additionally, mentioning any preliminary trials or research that informed these choices would demonstrate a more systematic approach to designing the experiment.

The student explains the choice of variables in the IA. The independent variable, the internal pressure of the basketball, is manipulated within a range of 110 to 220 kPa, with the lower limit justified by atmospheric pressure considerations. The method for measuring the dependent variable, the first rebound height, is described, including the use of a slow-motion camera at 120Hz to obtain accurate measurements.

The method section does not justify why only three trials are conducted for each pressure measurement. The student should explain that repeating the experiment multiple times helps to minimize random errors and provides a more accurate average rebound height. For example, they could state, "I will conduct three trials for each pressure to ensure the results are reliable and to account for any variations in bounce height due to experimental error." This explanation would clarify the reason for choosing three trials and improve the rigor of the investigation.

On page 5, the student presents a table outlining the controlled variables, their justifications, and the methods used to control them. For example, the drop height is set at 2.3535 meters to keep the gravitational potential energy consistent across trials, reducing variations in kinetic energy. The student also notes the importance of using the same basketball material and surface type to ensure consistent coefficient of restitution measurements. Each controlled variable is linked to a reason and a specific control method.

The student discusses safety considerations related to trip hazards, handling hot water, and climbing onto a stool. They mention using heat-resistant gloves when handling hot water and having assistance when climbing, showing awareness of safety protocols.

The student should explain why there are no ethical concerns in the investigation. For example, they could mention that the experiment does not involve living organisms, human participants, or hazardous materials. Additionally, they could state how waste materials will be disposed of responsibly to demonstrate consideration for ethical practices.

The student does not address any environmental considerations related to the investigation. To improve, the student should mention potential environmental impacts of the materials and methods used, such as how the basketball and other equipment will be disposed of or reused after the experiment. It would also be helpful to discuss any measures taken to reduce waste or energy use during the investigation. Including these points would show a better understanding of environmental issues involved.

The student outlined a methodology that includes adjusting the internal pressure of the basketball, maintaining a consistent drop height, and using a slow-motion camera to obtain accurate measurements. They also listed the various apparatuses needed, specifying their quantities and functions. The steps are clearly described along with a labelled diagram, providing a detailed approach to replicating the investigation.

The student outlined a methodology that includes adjusting the internal pressure of the basketball, maintaining a consistent drop height, and using a slow-motion camera to obtain accurate measurements. They also listed the various apparatuses needed, specifying their quantities and functions. The steps are clearly described along with a labelled diagram, providing a detailed approach to replicating the investigation.

The student outlined a methodology that includes adjusting the internal pressure of the basketball, maintaining a consistent drop height, and using a slow-motion camera to obtain accurate measurements. They also listed the various apparatuses needed, specifying their quantities and functions. The steps are clearly described along with a labelled diagram, providing a detailed approach to replicating the investigation.

The student outlined a methodology that includes adjusting the internal pressure of the basketball, maintaining a consistent drop height, and using a slow-motion camera to obtain accurate measurements. They also listed the various apparatuses needed, specifying their quantities and functions. The steps are clearly described along with a labelled diagram, providing a detailed approach to replicating the investigation.

The student describes the data collection and processing methods used in the IA, such as measuring rebound height with a slow-motion camera and explaining how internal pressure was manipulated systematically. The calculations for the coefficient of restitution in the "Calculations and trials" section are detailed, showing how each value was derived.

The student describes the data collection and processing methods used in the IA, such as measuring rebound height with a slow-motion camera and explaining how internal pressure was manipulated systematically. The calculations for the coefficient of restitution in the "Calculations and trials" section are detailed, showing how each value was derived.

The student describes the data collection and processing methods used in the IA, such as measuring rebound height with a slow-motion camera and explaining how internal pressure was manipulated systematically. The calculations for the coefficient of restitution in the "Calculations and trials" section are detailed, showing how each value was derived.

The student clearly outlines the uncertainties associated with each variable, such as basketball internal pressure and drop height, and provides justifications for these values. They also demonstrate a systematic approach to calculating uncertainties, applying standard uncertainty equations and deriving fractional uncertainties. This detailed examination of uncertainties supports the reliability of the findings.

The student describes the data collection and processing methods used in the IA, such as measuring rebound height with a slow-motion camera and explaining how internal pressure was manipulated systematically. The calculations for the coefficient of restitution in the "Calculations and trials" section are detailed, showing how each value was derived.

The student describes the data collection and processing methods used in the IA, such as measuring rebound height with a slow-motion camera and explaining how internal pressure was manipulated systematically. The calculations for the coefficient of restitution in the "Calculations and trials" section are detailed, showing how each value was derived.

The student describes the data collection and processing methods used in the IA, such as measuring rebound height with a slow-motion camera and explaining how internal pressure was manipulated systematically. The calculations for the coefficient of restitution in the "Calculations and trials" section are detailed, showing how each value was derived.

The student describes the data collection and processing methods used in the IA, such as measuring rebound height with a slow-motion camera and explaining how internal pressure was manipulated systematically. The calculations for the coefficient of restitution in the "Calculations and trials" section are detailed, showing how each value was derived.

The student describes the data collection and processing methods used in the IA, such as measuring rebound height with a slow-motion camera and explaining how internal pressure was manipulated systematically. The calculations for the coefficient of restitution in the "Calculations and trials" section are detailed, showing how each value was derived.

The student should ensure that the values match the uncertainty; in this case, a value of 110 should be used instead of 110.0, as the uncertainty is +/-2k

The student should ensure that the values in the table match the precision indicated by the uncertainty. If the uncertainty is given with one decimal place, all related measurements should be rounded to the same level of precision. For example, if an uncertainty of ±0.5 is stated, the corresponding values should be rounded to one decimal place, such as 9.0 instead of 8.75. This improves clarity and consistency in presenting the data.

The student clearly outlines the uncertainties associated with each variable, such as basketball internal pressure and drop height, and provides justifications for these values. They also demonstrate a systematic approach to calculating uncertainties, applying standard uncertainty equations and deriving fractional uncertainties. This detailed examination of uncertainties supports the reliability of the findings.

The student clearly outlines the uncertainties associated with each variable, such as basketball internal pressure and drop height, and provides justifications for these values. They also demonstrate a systematic approach to calculating uncertainties, applying standard uncertainty equations and deriving fractional uncertainties. This detailed examination of uncertainties supports the reliability of the findings.

The student clearly outlines the uncertainties associated with each variable, such as basketball internal pressure and drop height, and provides justifications for these values. They also demonstrate a systematic approach to calculating uncertainties, applying standard uncertainty equations and deriving fractional uncertainties. This detailed examination of uncertainties supports the reliability of the findings.

The student clearly outlines the uncertainties associated with each variable, such as basketball internal pressure and drop height, and provides justifications for these values. They also demonstrate a systematic approach to calculating uncertainties, applying standard uncertainty equations and deriving fractional uncertainties. This detailed examination of uncertainties supports the reliability of the findings.

The student clearly outlines the uncertainties associated with each variable, such as basketball internal pressure and drop height, and provides justifications for these values. They also demonstrate a systematic approach to calculating uncertainties, applying standard uncertainty equations and deriving fractional uncertainties. This detailed examination of uncertainties supports the reliability of the findings.

The student clearly outlines the uncertainties associated with each variable, such as basketball internal pressure and drop height, and provides justifications for these values. They also demonstrate a systematic approach to calculating uncertainties, applying standard uncertainty equations and deriving fractional uncertainties. This detailed examination of uncertainties supports the reliability of the findings.

The student clearly outlines the uncertainties associated with each variable, such as basketball internal pressure and drop height, and provides justifications for these values. They also demonstrate a systematic approach to calculating uncertainties, applying standard uncertainty equations and deriving fractional uncertainties. This detailed examination of uncertainties supports the reliability of the findings.

The student describes the data collection and processing methods used in the IA, such as measuring rebound height with a slow-motion camera and explaining how internal pressure was manipulated systematically. The calculations for the coefficient of restitution in the "Calculations and trials" section are detailed, showing how each value was derived.

The student clearly outlines the uncertainties associated with each variable, such as basketball internal pressure and drop height, and provides justifications for these values. They also demonstrate a systematic approach to calculating uncertainties, applying standard uncertainty equations and deriving fractional uncertainties. This detailed examination of uncertainties supports the reliability of the findings.

The student clearly outlines the uncertainties associated with each variable, such as basketball internal pressure and drop height, and provides justifications for these values. They also demonstrate a systematic approach to calculating uncertainties, applying standard uncertainty equations and deriving fractional uncertainties. This detailed examination of uncertainties supports the reliability of the findings.

The student clearly outlines the uncertainties associated with each variable, such as basketball internal pressure and drop height, and provides justifications for these values. They also demonstrate a systematic approach to calculating uncertainties, applying standard uncertainty equations and deriving fractional uncertainties. This detailed examination of uncertainties supports the reliability of the findings.

The student should consider finding a best-fit equation rather than just curve-fitting the data, as this will help clarify the correlation between the variables. Additionally, discussing linearization methods to identify any linear relationships would strengthen the analysis and better connect the data processing to the research question.