Two Dimensional Kinematics Projectile Motion

AI Thread Summary
The discussion revolves around a projectile motion lab where the user has generated three graphs related to two-dimensional kinematics. They have successfully calculated the horizontal velocity (vx) but are struggling to determine the initial vertical velocity (v0y) and the vertical acceleration (ay) due to a lack of specific time data from the graphs. The user seeks guidance on how to extract these values using the provided equations of motion. The conversation highlights the need to analyze the y(t) equation to derive the necessary parameters. Ultimately, the user aims to calculate the angle of projection once they obtain v0y and ay.
Jetsgirl
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Homework Statement



Hi, I am doing a projectile motion lab for two dimensional kinematics. After completing the procedure of the lab, I have 3 graphs where

Y vs. X has a slope of y = -0.0037x2 + 0.9169x + 0.2684


X vs. T has a slope of y = 373.95x + 3.4011


Y vs. T has a slope of y = -505.11x2 + 328.29x + 3.5949

From the graphs, I have to figure out

ay (cm/s^2)
vx (cm/s)
v0y (cm/s)
angle (degrees)




Homework Equations



ax (t) = 0
ay (t) = -g
vx (t) = v0x
vy (t) = voy + ayt

x(t) = x0+v0xt
y(t) = y0+v0yt+1/2ayt^2

Change in angle = (vy^2*change in vs^2 + vx^2 + change in vy^2)/(vx^2 + vy^2) * (180/pi)

The Attempt at a Solution



vx = 373.95 +/- 3.4011

But for voy, and ay, the equations say that I need to use a specific time to find the answer, which I do not have according to the graphs.

Any suggestions on how to obtain the other two (ay, v0y) would be greatly appreciated.
From there I know I can find the angle by plugging all the components into the "change in angle" equation given above.

Thanks all.
 
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You gave the equation for y(t):
y(t) = y_0+v_{y0}t+\frac{1}{2}a_y t^2
You also said that the equation you found for y(t) was (I assumed those should have been 't's not 'x's):
y = -505.11t^2 + 328.29t + 3.5949
So how can you find v0y and ay?
 
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