Question

give an equation for potion time relationship

Answer 1

the equation for the position time relation is S=ut+1/2at2

Answer 2

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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