Physics4A_2025_DChen

d = 0.275 +- 0.01 Conclusions: How do the predicted velocity and the measured velocity compare in each case? Did your measurements agree with your initial prediction? If not, why?  Our measurement were very similar to our predicted valued that was calculated. With a roughly 8% difference between the two numbers. The difference became more noticeable as the weight of the hanging mass increased. When the mass of the car changed the measured values had a slightly larger deviations. Does the launch velocity of the car depend on its mass? The mass of the block? The distance the block falls? Is there a choice of distance and block mass for which the mass of the car does not make much difference to its launch velocity? Yes, the launch velocity is proportional to the car's mass. A heavier car accelerates more slowly due to its increased inertia, resulting in a lower velocity. The mass of the hanging object is also important: heavier masses produce a stronger p...

  Data: We used weights varying from 0 g up to 300 g with a 50 g interval between each measurement  Graph: Our graph using the data we collected is shown above. The curve fit was a sin graph.  Our predicted curve fit was a tangent graph. Problem Write up for Blog: Where do the two curves match?   The two curves match when little mass was added to the middle (M) Where do the two curves start to diverge from one another?   Once the mass in the middle was around 150g we started to see the slope of our best fit line decrease and not align with our predicted behavior What does this tell you about the system?  The equation we derived is in a situation that we have a perfect pulley. But in the real world, the pulley has rotational inertia and friction that we need to consider. What are the limitations on the accuracy of your measurements and analysis? Some limitations can include measurement error, as we cannot get an accurate measurement with just our e...

  My Contributions to Project One (rockets) Introduction  Project One focused on accurately modeling the trajectory of a rocket and a rubber band by accounting for all forces acting on the rocket at any given moment. My primary role in this project was writing code and developing a precise simulation of the rocket's flight path based on its initial stretch and launch angle. Additionally, I organized the data and visualized the results through graphs, creating a slideshow to effectively present our findings. project background In this project, we used VPython to model the trajectory of a rocket launched with a rubber band, accounting for all forces acting on it, including gravity, air resistance, and the force from the stretched band. By coding a simulation, we could track the rocket’s motion in real time and analyze how different launch angles and stretches affected its path. VPython allowed us to update velocity and position step by step, creating an accurate visual of the fl...

 https://docs.google.com/presentation/d/1jKLc4_Q89y6XzTivrhIgcMPiRv9OlZ0ZMsmsoX8P5V0/edit?usp=sharing 

 1)  Measurement of acceleration due to gravity from a motion detector. We measured the velocity and position of a basketball in freefall motion and used that data to calculate the acceleration due to gravity. We measured by using a motion detector to track the basketball's position and velocity. The motion detector was mounted on a stand pointed at the ground roughly 5 feet in the air. We then dropped the ball below the motion detector so it was able to track the ball. All the data was captured through logger pro where graphs of both the velocity and position were provided and the necessary data we needed in order to do calculations.  After doing calculations for acceleration, our group got  -9.22 m/s^2 using the data from position and -9.116 m/s^2 from the velocity data.  What was the standard deviation of your result? My result for standard deviation was 0.119 2) Measurement of acceleration due to gravity from Video Analysis. For the video analysis, i dropped...