Ib Physics Ia-Freefall Essay

18. Draw a best-fit line for the Tonga Trench data. A best fit line is a smooth line that shows the trend of the data; the line does not have to pass through the data points.

The R2 value determines how close the data is to the function (Penn State). The

Introduction: Today scientists put acquired data into a form of a graph. This said graph is designed to help make predictions and furthermore, study and understand the experiment and its contents at hand. The Graphing and Estimating lab involves just that. The lab is designed to collect data from several tests involving burn time of a candle.

5. The green bars are called "error bars." They indicate the range of uncertainty that scientists have about the data on the graph. (Note: Not all error bars are shown.) Why do you think these error bars are smaller near the year 2000 than in the 1890s?

When a scatter plot's (x,y) points are all pretty close to the "line of best fit", then how would you describe the relationship between the points?

Therefore, a theoretical uncertainty value that accommodates both uncertainties of the measurement and the equipment is calculated. The theoretical uncertainty calculation is primarily based on the propagation of error formula. The theoretical uncertainty calculation is as follows.

The purpose of this assignment is to work out a parachute design and investigate parachute’s drop time. Parachutes are designed to fall slowly so that the person can land safely to the ground, as shown in figure 1. Parachutes are big, but not heavy and have a larger surface area for air resistance like traps the air from escaping out of it. This is because the air pushes the parachute back up, but the force of gravity pulls the parachute to the earth.

Calculate the percent error for your result. Show all work. State and explain at least two sources of error for this experiment. How might you change the experiment to reduce the error from one of those sources?

When compared to the theoretical value, we had a 2.6% error in our experiment. Any errors that occurred maybe due to a too low intensity

Curve fitting involves producing a statistically derived best-fit line of data points on the graph; not a hand-drawn or estimated line connecting data points.

Confidence Report: I am confident that our data in the experiment was “good data”. We had the expected positive results occur from the identification experiments. We made sure to measure everything correctly. We correctly identified the

It is important to recognize the types of error that may be present in experiments before attempting

The line of best-fit is used to find the gradient, the T2/L value, if straight or linear it shows that the relationship between the two is directly proportional. Using the original equation, you can square both sides and rearrange it to make . Then you can input the gradient value (T2/L) and work out g. , where g equals 10.13 m/s2. This value is close to the

The trendline, known as the line of best fit or the least squares regression line, shows the linear equation which best explains the sums up the data’s trend. The formula on the right is the formula of the line of best fit.

There is also a noticeable discrepancy between the function graph and the scatter plot in the domain {} and {}. A slight stretch about the y axis would fit the curve closer to the data points in those areas, therefore the _b_ value should be changed from π/15 to π/14. The number π/14 was chosen because reducing the denominator's value by 1 will increase the b value by a slight amount, and an increased b value will shorten period and compress the graph about the y axis, resulting in the values within domain to be closer to that of the data points.