Stuntwoman Helicopter Drop: Projectile Motion Homework Solution

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Homework Help Overview

The problem involves a stuntwoman dropping from a helicopter that is 30.0 m above the ground, moving with a constant velocity that has both upward and horizontal components. The challenge is to determine where to place foam mats on the ground to break her fall, considering the motion involved in projectile dynamics.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the interpretation of the helicopter's velocity components, particularly the significance of the southward direction. There is confusion regarding how to represent the vectors and the relationship between the helicopter's motion and the stuntwoman's drop.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the initial conditions of the stuntwoman's drop and how her velocity relates to that of the helicopter. Some guidance has been provided regarding the coordinate system and the nature of the velocity components, but multiple interpretations are still being explored.

Contextual Notes

Participants are questioning the assumptions about the stuntwoman's initial velocity upon dropping and how it may differ based on her method of dropping from the helicopter. There is also a focus on the implications of gravity on her motion after the drop.

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Homework Statement



A movie stuntwoman drops from a helicopter that is 30.0 m above the ground and moving with a constant velocity whose components are 10.0 m/s upward and 15.0 m/s horizontal and toward the south. You can ignore air resistance.

where on the ground (relative to the position of the helicopter when she drops) should the stuntwoman have place the foam mats that break her fall?

Homework Equations



y=yo+vo*t+1/2*a*t^(2)

The Attempt at a Solution



I am confused on how the vectors should be drawn. It says that the helicopter has a constant velocity whose components are 10m/s up, 15m/s horizontal and toward the south. I am lost with the south part. What does it mean?

Homework Statement


Homework Equations


The Attempt at a Solution

 
Last edited:
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Toranc3 said:

Homework Statement



A movie stuntwoman drops from a helicopter that is 30.0 m above the ground and moving with a constant velocity whose components are 10.0 m/s upward and 15.0 m/s horizontal and toward the south. You can ignore air resistance.


Homework Equations



y=yo+vo*t+1/2*a*t^(2)

The Attempt at a Solution



I am confused on how the vectors should be drawn. It says that the helicopter has a constant velocity whose components are 10m/s up, 15m/s horizontal and toward the south. I am lost with the south part. What does it mean?
[/b]

The horizontal component of velocity points towards South.

What is the question of the problem?

ehild
 
ehild said:
The horizontal component of velocity points towards South.

What is the question of the problem?

ehild

So the horizontal velocity toward south component is at some angle with its own components?
 
Toranc3 said:
So the horizontal velocity toward south component is at some angle with its own components?

? The horizontal velocity points towards South.
You choose a system of coordinates with x-axis pointing to the South and y-axis pointing up. See picture. The x component of the velocity is 15 m/s and the y component is 10 m/s.

ehild
 

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ehild said:
? The horizontal velocity points towards South.
You choose a system of coordinates with x-axis pointing to the South and y-axis pointing up. See picture. The x component of the velocity is 15 m/s and the y component is 10 m/s.

ehild

oh i see and thanks!
 
I had a question about this problem again. When the stuntwoman drops from the helicopter does she have the same velocity as the helcopter? Wouldn't her y component be the oppositse sign now and still have the same x component?
 
At the moment she leaves the helicopter she has the same velocity: Both the x and y components are the same as those of the helicopter.. But the y component will change with time, due to gravity. ehild
 
ehild said:
At the moment she leaves the helicopter she has the same velocity: Both the x and y components are the same as those of the helicopter.. But the y component will change with time, due to gravity.


ehild

once again thanks!
 
Toranc3 said:
I had a question about this problem again. When the stuntwoman drops from the helicopter does she have the same velocity as the helcopter? Wouldn't her y component be the oppositse sign now and still have the same x component?

This depends on how exactly she "drops". If she drops "inertially", without forcing herself out in any way, then he initial velocity will be equal to that of the helicopter. Otherwise, she will have some velocity relative to the helicopter, and her initial velocity will be the vector sum of the helicopter's and her relative velocity.
 
  • #10
voko said:
This depends on how exactly she "drops". If she drops "inertially", without forcing herself out in any way, then he initial velocity will be equal to that of the helicopter. Otherwise, she will have some velocity relative to the helicopter, and her initial velocity will be the vector sum of the helicopter's and her relative velocity.

Yo could you give some examples?
 

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