Stuntwoman Helicopter Drop: Projectile Motion Homework Solution

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The discussion revolves around a physics problem involving a stuntwoman dropping from a helicopter 30 meters above the ground, moving with a constant velocity of 10 m/s upward and 15 m/s horizontally toward the south. Participants express confusion about how to represent the velocity vectors, particularly the significance of the southward direction. Clarification is provided that the horizontal velocity component points south, and a coordinate system can be established with the x-axis pointing south and the y-axis pointing upward. The initial velocity of the stuntwoman upon dropping is confirmed to match that of the helicopter, but her vertical velocity will change due to gravity. The conversation emphasizes understanding vector components and their implications in projectile motion.
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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

 
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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?
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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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