proof for equation

[muted basalt]

Can someone link me to a proof for the following equation

[rocky crystal]

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[muted basalt]

I’ve been searching but i can’t find any 😭

s is distance

[timber flint]

yes

so im supposing $V_E$ here means final (end) velocity and $V_S$ means initial (starting) velocity

[fleet falcon]

wolfqz

[timber flint]

Acceleration is given as the change in velocity per unit time. So,

$$a = \frac{\Delta v}{t} \implies t = \frac{\Delta v}{a}$$

$$\text{Average Velocity} = \frac{V_E+V_U}{2}$$

$$\text{Distance = Average Velocity} \times \text{Time}$$

$$s = \frac{V_E+V_U}{2} \times \frac{V_E-V_U}{a}$$

$$s = \frac{V_E^2 - V_U^2}{2a}$$

[fleet falcon]

wolfqz

[grizzled grotto]

Bro it's a Physics Question ☠️💀

[timber flint]

its just asking to prove the third equation of motion

[grizzled grotto]

That doesn't change the fact that it's a Physics question

Ok leave that it doesn't matter

Pardon me

[fleet falcon]

AstroVortex

[fleet falcon]

AstroVortex

AstroVortex

[muted basalt]

Thank you ❤️