Soup Can Lab |
Partner: Puneet Sachdeva
|
Research Question:
Does the height of the ramp have a linear or proportional relationship with the velocity? In other words, how does the height affect the velocity of the can.
Response:
As height increases, velocity will increase at an increasing rate. One can calculate the velocity of the can using the formula for calculating distance at a certain time and rate.
d = rt
In this equation, 'd' is distance 'r' is rate and 't' is time. For each height we took multiple takes and found the average time for that given height given that the results were in the same vicinity. After solving for the velocity, to address the task at hand on whether or not the ramp had a linear or proportional relationship with the velocity, one can use the data and compare them with one another by graphing the values. We put in our data into a spreadsheet, and graphing it gives us the one below. Obviously, the curve isn't perfect and has a rounded increase to it. This shows us that as the height increases at a constant rate, the velocity will increase at an increasing rate. A graph which describes a linear relationship with height and velocity would be indicated by a straight line, different from the exponential curve of this one.
Does the height of the ramp have a linear or proportional relationship with the velocity? In other words, how does the height affect the velocity of the can.
Response:
As height increases, velocity will increase at an increasing rate. One can calculate the velocity of the can using the formula for calculating distance at a certain time and rate.
d = rt
In this equation, 'd' is distance 'r' is rate and 't' is time. For each height we took multiple takes and found the average time for that given height given that the results were in the same vicinity. After solving for the velocity, to address the task at hand on whether or not the ramp had a linear or proportional relationship with the velocity, one can use the data and compare them with one another by graphing the values. We put in our data into a spreadsheet, and graphing it gives us the one below. Obviously, the curve isn't perfect and has a rounded increase to it. This shows us that as the height increases at a constant rate, the velocity will increase at an increasing rate. A graph which describes a linear relationship with height and velocity would be indicated by a straight line, different from the exponential curve of this one.
In conclusion, after mathematically solving for the velocity, and using spreadsheet to visually see the results of our data, we can deduce that as the height increases, the velocity will increase at an increasing rate.