Question

derivation of first equation of motion

Answer 1

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Answer 2

 Derivation of first equation of Motion

      Equation of uniform accelarated Motion

Consider a body having initial velocity 'u' suppose it is subjected to a uniform acceleration 'a' so that after time 't' its final velocity becomes 'v' then

$Accelaration=\frac{Change\:in\:velocity}{Time\:taken}$

$a=\frac{v-u}{t}\\\\v=u+at$

Some important definitions :-

Motion: A body is said to be in motion when its position cahnges continuously with respect to a stationery object taken as reference point.

Acceleration : Acceleration of body is defined as the rate of change of its velocity with time. It is denoted by small 'a'

$Acceleration=\frac{Change\:in\:velocity}{Time\:taken},\\\\Acceleration=\frac{Final-Initial\:velocity}{Time taken}$

Negative Acceleration : If the velocity of the body decreases the acceleration of the body is negative. It is known as retardation or negative acceleration :