How to find the y-component of Vi based on a Vy/t graph

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Homework Help Overview

The discussion revolves around determining the initial vertical velocity (Vy) from a graph of vertical velocity versus time (Vy/t) based on data collected from a ticker tape lab related to projectile motion. Participants are examining the nature of the graph and the experimental setup used to gather the data.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to identify Vy from the graph and questions the validity of their initial assumption regarding the first velocity value. Other participants inquire about the experimental setup and suggest providing more detailed data for clarity.

Discussion Status

Participants are actively discussing the experimental procedure and the interpretation of the graph. Some guidance has been offered regarding the use of regression analysis to extract information from the graph, though no consensus has been reached on the best approach to find Vy.

Contextual Notes

There is mention of a lack of direct experimentation, as the data was derived from pre-prepared ticker tape. Participants are also considering the relevance of specific data points in relation to the free fall motion being analyzed.

devilish_wit
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Homework Statement


These are the experimental results we got from the ticker tape lab we did in projectile motion. How exactly do I find Vy? My graph looks weird. I'm assuming Vy initial must be exactly the first velocity on the table.
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Homework Equations

The Attempt at a Solution

 

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Please describe the experimental set up and procedure in as much detail as you can. A diagram may help.
 
This came from some sort of ticker tape lab, only it’s applied for projectile motion. The papers with the ticker dots were already prepared so we didn’t actually did that experiment. We measured the x and y distance for each dots, then solved for the instantaneous velocity for each time. The images I attached is the table of Vy to its corresponding time, and a graph of Vy/t
 
devilish_wit said:
This came from some sort of ticker tape lab, only it’s applied for projectile motion. The papers with the ticker dots were already prepared so we didn’t actually did that experiment. We measured the x and y distance for each dots, then solved for the instantaneous velocity for each time. The images I attached is the table of Vy to its corresponding time, and a graph of Vy/t
Then please post your original data (x, y, t triples, right?), and in a form that readers can cut and paste into a spreadsheet.
 
You could do regression analysis to calculate gradient and y-intercept if that's any help ? Possibly leaving out the first two points which don't seem to be part of the 'free fall' data set. Enter t as the x-values and v as the y-values if you want your gradient to show acceleration.
 

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