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5 Kinematic Equations?

by harujina
Tags: equations, kinematic
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harujina
#1
Sep12-13, 11:09 PM
P: 75
I know that there's 5 key equations for motion which is:

d = (vf+vi/2)t
vf = vi + at
d = vit + 1/2at^2
vf^2 = vi^2 + 2ad
d = vft - 1/2at^2

Correct?
But my teacher was confusing me today and he taught us these two other equations:

d = 1/2(vi+vf)t
d = 1/2at^2

What are these? Are they just other "rules of motion" like everything else?
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quawa99
#2
Sep12-13, 11:38 PM
P: 62
The second equation 'D=1/2at^2' is one of the kinematic equations 'D=Vi+1/2at^2' where the initial velocity 'Vi' is considered to be zero.
harujina
#3
Sep12-13, 11:39 PM
P: 75
Quote Quote by quawa99 View Post
The second equation 'D=1/2at^2' is one of the kinematic equations 'D=Vi+1/2at^2' where the initial velocity 'Vi' is considered to be zero.
oh right, i can't believe i didn't notice that! ok thank you!

jtbell
#4
Sep12-13, 11:52 PM
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P: 11,626
5 Kinematic Equations?

Quote Quote by harujina View Post
d = (vf+vi/2)t
This one is incorrect. Either your teacher or you copied it wrong.

d = 1/2(vi+vf)t
This is the correct version, assuming you meant (1/2)(vi+vf)t.

Actually, only two equations are essential:

vf = vi + at
d = vit + (1/2)at2

The others can be derived from these two.
namanjain
#5
Sep13-13, 02:57 AM
P: 69
5 eq

v final velocity
u initial vel.
t time
s displacement
a constant accn


v= u +at
s= ut + .5at2
v2= u2 +2as
s= vt - .5at2
s= .5(v+u)t
namanjain
#6
Sep13-13, 02:59 AM
P: 69
Quote Quote by jtbell View Post
This one is incorrect. Either your teacher or you copied it wrong.



This is the correct version, assuming you meant (1/2)(vi+vf)t.

Actually, only two equations are essential:

vf = vi + at
d = vit + (1/2)at2

The others can be derived from these two.
but while doing numerical it is irritating to first get acceleration, so actually 5 eqn
are good adding to it this gives feel to a child what he's doing
also kinematics it a beginning so one can learn these quickly as afterward formula formula formula!!!
dauto
#7
Sep13-13, 07:58 AM
Thanks
P: 1,948
Quote Quote by jtbell View Post
Actually, only two equations are essential:

vf = vi + at
d = vit + (1/2)at2

The others can be derived from these two.
You can chose any two out of the five to take as essential and derive the other three from them
jtbell
#8
Sep13-13, 08:32 AM
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jtbell's Avatar
P: 11,626
True, but I like those two because if you know calculus you can get them by integrating d2x/dt2 = a twice. Of course, that means you really need to remember only one equation which basically just says "acceleration is constant."


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