Question

How to prove S=ut ½at²

Answer 1

U= initial speed t = time taken S = {distance in 1st sec} + {distance in 2nd sec } + {distance in 3rd sec) + ............... + {distance in t sec} S = {u } + {u + a} + {u + 2a } + ................... + {u + (t - 1)a} S = u * t + {a + 2a + .........+ (t - 1)a } S = ut + a( 1 + 2 + 3 ........+ (t-1)) S = ut + a * t * (t)

Answer 2

You can also prove it using calculus , see the attachment