Hi(adsbygoogle = window.adsbygoogle || []).push({});

I tried to derive the distance traveled by a body at contact acceleration from the definition of acceleration (increase in speed every sec), but the ended with a different result. Can you see what I am doing wrong.

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 -1) / 2

Vijay

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Derivation of S = ut + 1/2at^2

**Physics Forums | Science Articles, Homework Help, Discussion**