- #1

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Hi

Does anyone know the projectile motion equations in which the acceleration is NOT constant?

Does anyone know the projectile motion equations in which the acceleration is NOT constant?

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- #1

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Hi

Does anyone know the projectile motion equations in which the acceleration is NOT constant?

Does anyone know the projectile motion equations in which the acceleration is NOT constant?

- #2

JasonRox

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Learn Calculus.

That's all you need.

That's all you need.

- #3

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ahh.....

Isn't there an equation(s) derived from the kinematic ones i can just apply?

Isn't there an equation(s) derived from the kinematic ones i can just apply?

- #4

Integral

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As for variable accelerations, just apply Newtons 3rd:

F=ma

- #5

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Nothing said:Hi

Does anyone know the projectile motion equations in which the acceleration is NOT constant?

Isn't there an equation(s) derived from the kinematic ones i can just apply?

I believe you probably already know the standard proceedure here, Nothing.

Usually, beginning with F = ma,

just take the derivative of both sides of the equation since you are looking for the time rate of change of accel.

dF/dt = m(dA/dt)

However, the effectiveness of this equation goes beyond the original assumptions in Newton's law. In cases of rapid change of acceleration a modification of Newton's law is probable. :surprised

Is that what you are getting at?

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- #7

Alkatran

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Doesnt:

Position = Sum(x(i)*t^i/i!)

where i goes from 0 to infinity, x(0) is initial position, x(1) is inital speed, x(2) is inital acceleration, etc....

- #8

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y = v0 sin (theta) - 0.5at^2 ?

where v0 sin (theta) is the vertical component the muzzle velocity

is there a counterpart where a is not constant?

- #9

arildno

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Sure, you have:

[tex]y(t)=v_{0}t\sin\theta-\int_{0}^{t}(\int_{0}^{\tau}a(s)ds)d\tau[/tex]

[tex]y(t)=v_{0}t\sin\theta-\int_{0}^{t}(\int_{0}^{\tau}a(s)ds)d\tau[/tex]

- #10

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thanks arildno, that really helped.

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