# the derivation of accleartion and velocity formulas and also displacement
and i also want to know that a L like word used what is it called and what is the name of it

### Asked by pannalal.malakar | 28th May, 2014, 10:37: AM

Expert Answer:

### There is no derivation for accelaration and velocity. The expressions for velocity and accelaration are formed using their respective definitions.
Velocity is defined as rate of change of displacement with respect to change in time.
Mathematically,
if t is made very small such that it tends to be zero,
then average velocity becomes instantaneous velocity.
Hence
similarly accelaration is defined as rate of change of velocity with respect to change in time.
Mathematically,
if t is made very small such that it tends to be zero,
then average accelaration becomes instantaneous accelaration .
Hence
here expression is termed as limit of time interval tending to zero.

Mathematically,

if t is made very small such that it tends to be zero,

then average accelaration becomes instantaneous accelaration .

Hence

here expression is termed as limit of time interval tending to zero.

### Answered by Ravindra Kapal | 28th May, 2014, 08:04: PM

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