Relative Motion and Two-Dimensional Motion

AI Thread Summary
A blimp ascends at 7.6 m/s from 67 m when a package is thrown horizontally at 4.5 m/s. To determine how long it takes for the package to reach the ground, the initial vertical motion must be analyzed separately from the horizontal motion. The package's initial velocity combines its horizontal speed and the blimp's vertical speed, requiring vector addition to find the resultant velocity upon impact. The discussion emphasizes the need to set up the problem using relative motion concepts and vector calculations. Understanding these principles is crucial for solving the problem accurately.
shortman12012
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Homework Statement



A blimp is ascending at the rate of 7.6 m/s at a height of 67 m above the ground when a package is thrown from its cockpit horizontally with a speed of 4.5 m/s.
(a) How long does it take for the package to reach the ground?(b) With what velocity (magnitude and direction) does it hit the ground?
magnitude
direction ° below the horizontal

The Attempt at a Solution



I'm not really sure how to start this problem exactly. I know I'll have to use vectors and add them up but i just need some help setting up the problem please
 
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shortman12012 said:

Homework Statement



A blimp is ascending at the rate of 7.6 m/s at a height of 67 m above the ground when a package is thrown from its cockpit horizontally with a speed of 4.5 m/s.
(a) How long does it take for the package to reach the ground?


(b) With what velocity (magnitude and direction) does it hit the ground?
magnitude
direction ° below the horizontal


The Attempt at a Solution



I'm not really sure how to start this problem exactly. I know I'll have to use vectors and add them up but i just need some help setting up the problem please
Well, what is the package's initial velocity?
 
well i know the package's initial velocity is 4.5 m/s. I'm just not sure how to combine both the movement of the blimp and then calculating the velocity of the package as well
 
shortman12012 said:
well i know the package's initial velocity is 4.5 m/s.
Not quite.
shortman12012 said:
I'm just not sure how to combine both the movement of the blimp and then calculating the velocity of the package as well
The package's initial velocity is the sum of its velocity relative to the blimp and the blimp's velocity.
 
so would it be
Velocity of package to ground = velocity of package to blimp + velocity of blimp to the ground?
V(PG) = V(PB) + V(BG)
then i just use vector addition and get the velocity for V(PG)?
 
shortman12012 said:
so would it be
Velocity of package to ground = velocity of package to blimp + velocity of blimp to the ground?
V(PG) = V(PB) + V(BG)
then i just use vector addition and get the velocity for V(PG)?
Yes :smile:
 

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