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Old 02-12-2008, 11:23 AM
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Blaine0002 Blaine0002 is offline
 
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Default Physics problem

I have no clue how to figure this out, and its hard to know what to google for.
If anyone could explain how to get an answer it would be greatly appreciated

I shoot something at an angle of 60 degrees, and it travels 15 miles, what is the initial velocity of the projectile?

Thanks!
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Old 02-12-2008, 12:00 PM
nexialys
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ya know, the Community Lounge... better place to post this.

and the initial velocity is zero... initial means at the start... the object is not moving. (i am always the one to break the party)
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Old 02-12-2008, 12:02 PM
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Paul M Paul M is offline
 
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Quote:
Originally Posted by nexialys View Post
ya know, the Community Lounge... better place to post this.
Agreed and moved.
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Old 02-12-2008, 03:40 PM
Opserty Opserty is offline
 
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Quote:
Originally Posted by nexialys View Post
and the initial velocity is zero... initial means at the start... the object is not moving. (i am always the one to break the party)
In Kinematics initial doesn't always refer to the very start, you can take the initial velocity of an object when its already moving and use that as your starting point.

Anyhoo...with regards to your problem I think you have to make a point of the horizontal component being independent of the vertical component. The object will travel in a parabola.

Vertically speaking:
Displacement = 0 (Your going up then coming back down)
Initial velocity = Vertical component of Initial velocity. ( u sin60)
Acceleration = Acceleration due to gravity [-9.8 (+ve or -ve depending on your frame of reference)]
Time = Unknown
[S]Final Velocity = Not interested[/S]

Horizontally:
Displacement = 15 miles (Quite why your still working with imperial units I don't know :erm
Initial velocity = Horizontal component of Initial velocity. ( u cos60 = 0.5u)
Acceleration = 0 (Assuming there is no air resistance)
Time = Unknown
[S]Final Velocity = Not interested[/S]

Then for both I used this equation:


Solve it for Horizontal first, that will give you a value of t in terms of u. Substitute this into the same equation for the vertical motion and it will give you the Initial Horizontal Velocity.

Don't forget to calculate the Initial Velocity from its Horizontal component, (basically its u/cos60)

That is how I would tackle it anyway, bearing in mind I haven't done any kind of projectile motion, so there may be an easier way to do it.

Good luck
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Old 02-12-2008, 06:52 PM
UncoderMom UncoderMom is offline
 
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Quote:
Originally Posted by Opserty View Post
In Kinematics initial doesn't always refer to the very start, you can take the initial velocity of an object when its already moving and use that as your starting point.

Anyhoo...with regards to your problem I think you have to make a point of the horizontal component being independent of the vertical component. The object will travel in a parabola.

Vertically speaking:
Displacement = 0 (Your going up then coming back down)
Initial velocity = Vertical component of Initial velocity. ( u sin60)
Acceleration = Acceleration due to gravity [-9.8 (+ve or -ve depending on your frame of reference)]
Time = Unknown
[S]Final Velocity = Not interested[/S]

Horizontally:
Displacement = 15 miles (Quite why your still working with imperial units I don't know :erm
Initial velocity = Horizontal component of Initial velocity. ( u cos60 = 0.5u)
Acceleration = 0 (Assuming there is no air resistance)
Time = Unknown
[S]Final Velocity = Not interested[/S]

Then for both I used this equation:


Solve it for Horizontal first, that will give you a value of t in terms of u. Substitute this into the same equation for the vertical motion and it will give you the Initial Horizontal Velocity.

Don't forget to calculate the Initial Velocity from its Horizontal component, (basically its u/cos60)

That is how I would tackle it anyway, bearing in mind I haven't done any kind of projectile motion, so there may be an easier way to do it.

Good luck
Yeah that!
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Old 02-12-2008, 07:30 PM
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Boofo Boofo is offline
 
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No, that looks right to me.
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Old 02-12-2008, 08:29 PM
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Blaine0002 Blaine0002 is offline
 
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Quote:
Originally Posted by Opserty View Post
In Kinematics initial doesn't always refer to the very start, you can take the initial velocity of an object when its already moving and use that as your starting point.

Anyhoo...with regards to your problem I think you have to make a point of the horizontal component being independent of the vertical component. The object will travel in a parabola.

Vertically speaking:
Displacement = 0 (Your going up then coming back down)
Initial velocity = Vertical component of Initial velocity. ( u sin60)
Acceleration = Acceleration due to gravity [-9.8 (+ve or -ve depending on your frame of reference)]
Time = Unknown
[S]Final Velocity = Not interested[/S]

Horizontally:
Displacement = 15 miles (Quite why your still working with imperial units I don't know :erm
Initial velocity = Horizontal component of Initial velocity. ( u cos60 = 0.5u)
Acceleration = 0 (Assuming there is no air resistance)
Time = Unknown
[S]Final Velocity = Not interested[/S]

Then for both I used this equation:


Solve it for Horizontal first, that will give you a value of t in terms of u. Substitute this into the same equation for the vertical motion and it will give you the Initial Horizontal Velocity.

Don't forget to calculate the Initial Velocity from its Horizontal component, (basically its u/cos60)

That is how I would tackle it anyway, bearing in mind I haven't done any kind of projectile motion, so there may be an easier way to do it.

Good luck
Thanks alot for your help, ill need to study this!
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Old 02-12-2008, 09:29 PM
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iogames iogames is offline
 
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Quote:
Originally Posted by Opserty View Post
In Kinematics initial doesn't always refer to the very start, you can take the initial velocity of an object when its already moving and use that as your starting point.

Anyhoo...with regards to your problem I think you have to make a point of the horizontal component being independent of the vertical component. The object will travel in a parabola.

Vertically speaking:
Displacement = 0 (Your going up then coming back down)
Initial velocity = Vertical component of Initial velocity. ( u sin60)
Acceleration = Acceleration due to gravity [-9.8 (+ve or -ve depending on your frame of reference)]
Time = Unknown
[S]Final Velocity = Not interested[/S]

Horizontally:
Displacement = 15 miles (Quite why your still working with imperial units I don't know :erm
Initial velocity = Horizontal component of Initial velocity. ( u cos60 = 0.5u)
Acceleration = 0 (Assuming there is no air resistance)
Time = Unknown
[S]Final Velocity = Not interested[/S]

Then for both I used this equation:


Solve it for Horizontal first, that will give you a value of t in terms of u. Substitute this into the same equation for the vertical motion and it will give you the Initial Horizontal Velocity.

Don't forget to calculate the Initial Velocity from its Horizontal component, (basically its u/cos60)

That is how I would tackle it anyway, bearing in mind I haven't done any kind of projectile motion, so there may be an easier way to do it.

Good luck
I concur!
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  #9  
Old 02-13-2008, 08:39 AM
Opserty Opserty is offline
 
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I'm glad I have the support of some of the forum! lol

P.S. Blaine002 if it doesn't workout try here: http://www.physicsforums.com/ I found 'em through vb.org
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  #10  
Old 02-14-2008, 11:29 PM
Ling Ling
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Wow they make a forum for any school subject.

Anyway, like Opserty said, the initial velocity would be from where ever you started calculating the distance, therefore, you could think of it as 60 degrees being the angle of elevation and the 15 miles being the ground distance. That is just taking it from a mathematical point of view. I bet there is someone else who has an actual answer.

-- Ling Ling
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