How Do You Solve for Time and Final Velocity in Physics Equations?

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SUMMARY

The discussion focuses on solving physics equations related to velocity and acceleration, specifically using the equations vf = vi + aΔt and Δx = viΔt + ½ a(Δt)². The user successfully rearranged the first equation to find Δt as (Vf - Vi) / a. They then substituted this expression into the second equation to derive an equation for (vf)². The community confirms the approach is correct and advises on simplifying the resulting expression.

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[URGENT] Velocity and Acceleration - - PLEASE HELP : (

Homework Statement



 = delta

6. (a) The velocity equation for an object moving with constant acceleration a is given
as vf = vi + a t . Solve this equation for the time interval  t.
(b) The position equation for an object moving with constant acceleration is given as
x = vit + ½ a(t)2 . Substituting the  t obtained from (a) into this equation, solve for (vf)2 .


Homework Equations



N/A


The Attempt at a Solution



for a) i rearranged the equation to t = (Vf-Vi) / a
b) I substituted (a) into (b)

x = Vi [ (Vf-Vi)/a ] + 1/2 a [ (Vf-Vi)/a ]^2

am i doing it right?
how do i simplify that to solve for (Vf)^2
 
Physics news on Phys.org
Yeah, you're doing it right... multiply everything out... try to simplify.
 

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