Stuntwoman Helicopter Drop: Projectile Motion Homework Solution

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In summary: 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?If the stuntwoman drops out of the helicopter in an arbitrary way, for example by pushing herself out the door, then her initial velocity will be different than the helicopter's velocity.
  • #1
Toranc3
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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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  • #2
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
 
  • #3
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?
 
  • #4
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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  • #5
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!
 
  • #6
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?
 
  • #7
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
 
  • #8
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!
 
  • #9
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?
 

Related to Stuntwoman Helicopter Drop: Projectile Motion Homework Solution

What is projectile motion?

Projectile motion is the motion of an object through the air under the influence of gravity. It occurs when an object is given an initial horizontal velocity and is then acted upon by gravity.

How does projectile motion relate to stuntmen?

Stuntmen often use projectile motion when performing stunts that involve jumping or falling through the air. Understanding the principles of projectile motion allows them to accurately plan and execute their stunts, ensuring their safety.

What factors affect projectile motion?

The distance, angle, and velocity of the object's initial launch all affect its trajectory and the length of its flight. Air resistance and the direction and strength of wind can also have an impact on the object's path.

How is projectile motion calculated?

The motion of a projectile can be described using equations derived from Newton's laws of motion. These equations take into account the object's initial velocity, the angle at which it is launched, and the force of gravity.

What are some real-world examples of projectile motion?

Some common examples of projectile motion include throwing a ball, shooting a cannonball, or jumping off a diving board. In each of these cases, the object follows a curved path due to the influence of gravity.

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