Question

Prove that s=ut+1/2at-2

Answer 1

Answer:

It can be proved by this statement

Area of velocity time graph gives us displacement .

Answer 2

Answer:

Explanation:

we know that v =dx/dt

                    vdt=dx

now in the above equation v is not independent of t. so we replace the value of v by v=u + at and get

                   (u + at)dt=dx

now integrating L.H.S AND R.H.S from limits o to t and xo to x respectively , we get u∫dt+a∫tdt=∫dx

                     ⇒        ut+1/2at^2=(x-xo)

                                x=xo + ut + 1/2 at^2

                                x= ut + 1/2 at^2   (xo initial position = zero)