Saturday, September 24, 2016

9/14/16: Trajectories

Title: Trajectories
Purpose:
The purpose of this lab is to use the understanding of projectile motion to predict the impact point of a ball on an inclined board.

Apparatus:


The ball is to be released from a certain height and should theoretically land in the same place each time. 

Theory
The theory behind this is to find the launch speed of the ball as it rolls off the ramp and onto the carbon paper. This can be done if the height of the table and the distance of how far it lands is known. After obtaining this information, it can be used further to find how far it would strike a board on an angle, if the angle is known. 

Data

This is approximately where the ball landed each time. With this, we found the height of the table to be 94.6cm and the distance x to be 79.6 cm. The angle is 40°. The distance that the ball actually landed on the board at an angle was 70.9cm ± 0.1cm.

Calculations:


Explanation/Analysis
The velocity we got was 1.8m/s, and we used that to derive an expression to theoretically calculate "d", which we got to be 0.724m. The experimental value we got for "d" was 70.9 cm ± 0.1 cm, which is fairly close to the answer we got. 

Conclusion
The results we got experimentally is fairly close to the answer we got theoretically, meaning that our experiment can be considered a success. There is a -2.07% error, which may be due to an inaccuracies in measuring the heights and lengths of the markings, as it is quite hard to find an exact center to where the ball dropped each time. 


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