Question

Derive graphicaly the eqation for the positiontime relation for an object travelling distance 's ' in time ' t ' under uniform acceleraion

Answer 1

Motion of an object was studied by Newton and then it was summarized in a set of equations of motion. The equations analyse rectilinear motion of uniformly accelerated body. The position of such a body can be well predicted with the help of a set of three equations, called kinematical equations.

A body is moving along a straight line with initial velocity ‘u’, after time interval ‘t’ it attains final velocity ‘v’ due to an acceleration ‘a’. Then the set of three equations is given as:

V= u + at

It represents velocity time relation

S= ut + ½ at2

It describes relation between position time relations

V2= u2 + 2as

It represents relation between position and velocity.

These equations can be derived by graphical method.