A student investigates skateboarding down a slope. She times how long it takes her to skateboard between two lines on a sloping pavement. She varies the distance between the two lines and records her results in a table.
Distance s/m time t/s
2 2.32
4 4.23
9 8.22
11 9.53
The student read that the equation which might relate to the motion of the skateboard is
X = Ut + ½ at2
(a) What conclusions do you draw from the results above.
(b) What factors influences the results.
A student investigates skateboarding down a slope. She times how long it takes her to skateboard between two lines on a sloping pavement. She varies the distance between the two lines and records her results in a table.
Distance s/m time t/s
Distance 2 Time 2.32
Distance 4 Time 4.23
Distance 9 Time 8.22
Distance 11 Time 9.53
The student read that the equation which might relate to the motion of the skateboard is
X = Ut + ½ at2
(a) What conclusions do you draw from the results above.
(b) What factors influences the results.
To draw conclusions from the given results and determine the factors that influence the results, we can use the equation X = Ut + ½ at^2. Let's analyze the data using this equation:
(a) Conclusions drawn from the results:
1. As the distance between the lines on the sloping pavement increases, the time taken by the student to skateboard between the lines increases.
2. The relationship between distance and time seems to be non-linear. This is evident from the fact that the time doesn't double when the distance doubles.
3. The data collected suggests that the motion of the skateboard is influenced by factors other than just distance, such as initial velocity (U) and acceleration (a).
(b) Factors that influence the results:
1. Distance (s): From the results, it is clear that increasing the distance between the two lines on the sloping pavement increases the time taken. This indicates that the longer the distance, the longer it takes to complete the skateboarding motion.
2. Initial velocity (U): The initial velocity at which the skateboarder starts can affect the time taken. However, the given data does not provide this information, so we cannot draw any conclusions specifically regarding the influence of initial velocity.
3. Acceleration (a): The given data does not directly provide information about acceleration. However, we can infer that there might be an acceleration component influencing the motion, as suggested by the equation X = Ut + ½ at^2. Understanding the acceleration component would require additional data or information.
To gain a comprehensive understanding of the factors influencing the results, it would be helpful to conduct further experiments while varying other variables like initial velocity, slope angle, or different surfaces.