Question

Derive the equation of position time relation

Answer 1

see pic, Let a body moves from D to with initial speed u and are moving with uniform acceleration finally body reach point B after time taken t.

distance travelled by body = area between curve v-t

= area DBA + area DAEO

= 1/2 × base × height + length × Breadth

= 1/2 × t × (v - u) + ut

we know , ( v - u ) = at, put it above

= 1/2× t × at + ut

= ut + at²/2

hence , distance travelled by body = ut + 1/2at²