Projectile Motion- How to Calculate Displacement

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To calculate the displacement of a projectile launched at various angles, one must determine the initial horizontal and vertical velocities, while neglecting air resistance, which simplifies the horizontal acceleration to zero. The time the projectile is in the air is crucial, as it can be derived from the vertical motion equations, considering the initial and final vertical velocities along with gravity. The horizontal displacement can be calculated using the formula: horizontal displacement = initial horizontal velocity * time. It is important to apply motion equations separately for horizontal and vertical components, as vertical motion is affected by gravity while horizontal motion is not. Understanding these principles allows for accurate displacement calculations, even when factoring in complexities like air resistance.
  • #31
Yes, since a bullet is being shot out of a gun.
 
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  • #32
Jai said:
Yes, since a bullet is being shot out of a gun.

If the velocity is zero, then it's not being shot out of a gun, it's just sitting in a gun.


When I said "initial velocity" in my other post I meant "initial velocity" after it's been shot
 
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  • #33
Nathanael said:
If the velocity is zero, then it's not being shot out of a gun, it's just sitting in a gun.

Yes, however I mean that for my original question, so now the approach may be different?
 
  • #34
Jai said:
Thanks for the reply. Yes I did consider that and try using the equations t=s/v, V=u+at, S=ut+1/2at^2 and V^2=u^2+2as but none of these seemed to work. They are the only equations I have been taught involving time.
Those equations are good. They are what you use. You just need to apply them separately to the horizontal component of initial velocity and to the vertical component of initial velocity. Vertical motion is influenced by gravity, horizontal motion is influenced by only air resistance (if present).

If a projectile has no initial horizontal velocity component then its motion will just be a vertical rise, then fall back to where it started.
 
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  • #35
NascentOxygen said:
Those equations are good. They are what you use. You just need to apply them separately to the horizontal component of initial velocity and to the vertical component of initial velocity. Vertical motion is influenced by gravity, horizontal motion is influenced by only air resistance (if present).

If a projectile has no initial horizontal velocity component then its motion will just be a vertical rise, then fall back to where it started.

Thanks, I applied them separately and managed to get what I need. While you are here do you know some sort of formula that could be used to take into account air resistance? My teacher said that we need to mention the formula but not calculate it because it is too complicated to get the data for.
 

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