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, v space equals space fraction numerator increment x over denominator increment t end fraction space equals space space fraction numerator x subscript 2 space minus space x subscript 1 over denominator t subscript 2 space minus space t subscript 1 end fraction
if Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '.t is made very small such that it tends to be zero,
then average velocity becomes instantaneous velocity.
Hence v subscript i n s tan tan e o u s end subscript space equals increment space stack t rightwards arrow 0 with l i m on top space fraction numerator increment x over denominator increment t end fraction space equals space fraction numerator d x over denominator d t end fraction
similarly accelaration is defined as rate of change of velocity with respect to change in time.
Mathematically, a space equals space fraction numerator increment v over denominator increment t end fraction space equals space space fraction numerator v subscript 2 space minus space v subscript 1 over denominator t subscript 2 space minus space t subscript 1 end fraction
if Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '.t is made very small such that it tends to be zero,
then average accelaration becomes instantaneous accelaration .
Hence a subscript i n s tan tan e o u s end subscript space equals increment space stack t rightwards arrow 0 with l i m on top space fraction numerator increment v over denominator increment t end fraction space equals space fraction numerator d v over denominator d t end fraction
here expression increment space stack t rightwards arrow 0 with l i m on top space is termed as limit of time interval tending to zero.

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