Magnitude of the overall Velocity problem

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The discussion focuses on calculating the magnitude of the overall velocity of a package dropped from a height of 3230 m while the plane maintains a horizontal velocity of 110 m/s. Using the kinematic equation d = v0(t) + 1/2at2, the time of fall is determined to be 25.7 seconds. The vertical component of the final velocity is calculated using the initial vertical velocity of 0 m/s and an acceleration of -9.8 m/s2. The overall velocity is derived by considering both horizontal and vertical components as vectors.

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1. A plane drops a package from a height of 3230 m. The plane's horizontal velocity was 110 m/s at the instant the package was dropped. What is the magnitude of the overall velocity of the hamper at the instant it touches the ground?



2. d=vo(t) + 1/2at^2



3. dx
vx 110
t 25.7

vfY
voY 0
aY -9.8
dY -3230
t 25.7

I found the time from the equation above. How would you find the overall velocity, and then how would you find the magnitude of the overall velocity?
 
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Calculate the final velocity by using the fact that the box is experiencing a constant acceleration. To find the 'overall' velocity, note velocity's vector nature.
 

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