$s= ut+\frac{1}{2}at^2$$v^2 - u^2 = 2as$$v= u + at$How use these equations of motion and where to use these equations?


As known, three equations of the motion are as below:

$v=u+at$

$s=ut+\frac{1}{2}at^2$

$v^2=u^2+2as$ or $v^2-u^2=2as$

Here, $u\rightarrow$initiasl velocity of the object

$v\rightarrow$final velocity of the object

$a\rightarrow$acceleration in the moving object

$t\rightarrow$time taken to change the velocity from $u$ to $v$

$s\rightarrow$distance/displacement in time $t$

Usage of the first equation of motion:

$v=u+at$, this equation of the motion can be used to find one missing term which can be initial velocity or final velocity or time taken to change the velocity or acceleration.

Usage of second equation of the motion:

$s=ut+\frac{1}{2}at^2$

When, initial velocity, time, and acceleration are given then distance covered or displacement in the body can be found.

Usage of the third equation of the motion:

$v^2=u^2+2as$

It can be used to find final velocity when the initial velocity, acceleration, and displacement that occurred in the object are given. Or to find one of the missing terms when rest three terms are given in the question.

Updated on: 10-Oct-2022

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