Physics Lab 3

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The University of Tennessee, Knoxville *

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136

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Physics

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Apr 3, 2024

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docx

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Laboratory 3 Report Goal- The goal of this lab is to learn about measuring acceleration and velocity. Free-fall – The acceleration of gravity- Describe the motion as the ball is falling: Estimate how long it takes the ball to reach the floor: - I think the ball will take a few seconds to hit the ground, 5 seconds or less. What can you say about the speed of the ball as a function of the distance it has already fallen? - The balls speed will increase will the distance the ball is falling is also increasing. If you drop the ball from about half of your height, does it take approximately half the time to reach the floor? - No the time it would take for the ball to hit the ground would be the same. Experiment 1: Position versus time graph: 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Position Vs Time Time Position Describe your graph. Does it resemble a straight line? If not, what does it look like? - The graph does not resemble straight line, the graph has a downward slope with a curve in the line. Was the ball moving with constant velocity? How can you tell?

- The ball was not moving with constant velocity, you can tell because if the ball was moving at a constant velocity, then the graph would show a straight line. Velocity versus time graph 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 -5 -4 -3 -2 -1 0 1 f(x) = − 7.17 x − 0.67 Velocity (m/s) vs. Time Time(s) Velocity (m/s) Describe your graph. Does it resemble a straight line? If not, what does it look like? - No, the graph follows a line however the data is scattered. - What value do you obtain for the acceleration of the ball? How does your experimental value of the magnitude of the acceleration compared to the accepted value of the magnitude of the acceleration of a free-falling object? - The value for the acceleration of the ball is -7.1665(m/s) 2 . The experimental value is relatively close to our value which is -9.8(m/s) 2 What factors do you think may cause your experimental value to be different from the accepted value? In other words, what are some possible sources of error? - There are several factor that could be sources of error, one being that we calibrate the stick on the website ourselves, which we could have done wrong.

Position versus time graph (with trendline) 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 f(x) = − 4.52 x² − 0.39 x + 0.91 Position Vs Time Time Position Does the polynomial of order 2 fit the data well? What values do you obtain for the acceleration of the ball from this fit? - Yes the polynomial of order 2 fits the data very well. We obtained an acceleration of -4.4164 m/s^2. Projectile Motion Experiment 2: Position versus time graph

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