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Old January 16th, 2005, 07:21 PM
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physics homework (need help)

if i shoot a gun at exact sea level it leaves the barrel at 450 m/s (meters per second)
at what speed will it hit the ground? (ignore air resistance and wind)



using some formulas in my text i have determined that the bullet will reacha height of 5165 meter's before it stops and begins to fall
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Old January 16th, 2005, 07:24 PM
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ok if it is fire horzontal, which I take it is, you don't say. then the hight would be nothing, and it will hit the the ground at the same speed it is launched from.
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Old January 16th, 2005, 07:28 PM
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Quote:
Originally Posted by jkabaseball
ok if it is fire horzontal, which I take it is, you don't say. then the hight would be nothing, and it will hit the the ground at the same speed it is launched from.



vertical

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Old January 16th, 2005, 07:32 PM
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well the speed would be the same as it was fired. Can't think of the equaltion for the height off the top of my head.




reminds me, physic final tuesday.....

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Old January 16th, 2005, 07:34 PM
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what equation did you use?

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Old January 16th, 2005, 07:47 PM
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here


examples 1 & 2 under the THEORY

using the initial velocity (v) 450 m/s we can solve for height (h)

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Old January 16th, 2005, 08:01 PM
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I remember somethat the speed of which a item decelerated upward is the same at which it accelarates, assuming there is no air resistance or wind, henseforth if the item leaves the barrel at 450 m/s and has a deceleration of 9.8 m/s/s it will reach a peak and then fall at 9.8 m/s/s and be travelling at the same velocity as it was shot at the point at which it was shot from. This is the same idea with arrows.

Perhaps I am wrong as it has been like 4 years since I took physics
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Old January 16th, 2005, 08:11 PM
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Quote:
Originally Posted by DarkKnight
I remember somethat the speed of which a item decelerated upward is the same at which it accelarates, assuming there is no air resistance or wind, henseforth if the item leaves the barrel at 450 m/s and has a deceleration of 9.8 m/s/s it will reach a peak and then fall at 9.8 m/s/s and be travelling at the same velocity as it was shot at the point at which it was shot from. This is the same idea with arrows.

Perhaps I am wrong as it has been like 4 years since I took physics



that seems right but isnt their some maximum speed any feefalling object can reach?

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Old January 16th, 2005, 09:02 PM
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whoa whoa whoa boys. There is no way a bullet can regain the speed at which it was fired by free fall. If that was the case, what do you think would happen every time it hailed? I've been hit by marble sized hail before. If your theory was correct, it would go through my skull and kill me.

In this instance, as stated before, a = g at 9.81m/s^2. The first part of the equation is going to give you the height. I am not going to check your math, so we can assume that you got it. Now you forget about the first part, and solve for the velocity assuming an initial velocity of 0.

First you have to solve for delta t using this equation

Delta S = 1/2a * (Delta t)^2

You already know Delta S, and you know what a is, so you can get t.

Once you're finished there you should already know how to calculate the final velocity. Remember that you're talking in negative terms. (Negative because its falling.)

Hope this helps.

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Old January 16th, 2005, 09:25 PM
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not sure what formula your using..


delta what??

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Old January 16th, 2005, 09:39 PM
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dS = .5(9.8m/s/s) * (dT)^2

Then Vf = a * T (the actual formula is Vf = Vi + (a*t) but the initial velocity is zero since its a free fall equation.

If your height is correct you should be able to get the time using your calculator and that equation. I gotta go to bed, so I hope that addition helps. Otherwise consult your text book.

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Old January 16th, 2005, 09:42 PM
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Quote:
Originally Posted by alienkillaz
that seems right but isnt their some maximum speed any feefalling object can reach?

Only if air resitance and winds affect the speed. You said these were not to be counted.
Code:

    a = -9.8 m/s^2
    s = max height
    v0 = initial speed = 450 m/s
    v1 = speed at maximum height = 0 m/s
    v2 =  speed when  hitting  ground
    
    Solve for maximum height:
    2as = v1^2 - v0^2
    2 * (-9.8 m/s^2) * s = 0 - (450 ms/s)^2
    s  =  10332 m
    
    Solve for time to reach ground:
    s = v1*t + 1/2*a*t^2
    -10332 m = 0 + 1/2*(-9.8) m/s*t^2
    t = 45.9 s
    
    Solve for speed when reaching ground:
    v2 = v1 + a*t
    v2 = 0 + (-9.8 m/s) * 45.9 s
    v2      = -450 m/s
    
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Old January 16th, 2005, 10:09 PM
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so in a controlled enviroment the starting velocity equals the end velocity. makes perfect sense when u think of it.



potential energy = mass(m)*gravity(g)*height(h)

kinetic energy = 1/2(mass(m)*velocity^2(v^2))

1/2(v^2)=gh



h= 1 v^2
....2 g

h= 202500
....19.6

h= 10331.6

well i was gonna prove that my maximum height was right and yours wrong, but when i work it out here i see i was in err


if bullets really travel that fast then that means a bullet (ignoring air resistance ) could travel as much as 6 miles high