Question

Derive the relation x=ut+1÷2at2

Answer 1

Consider an object which has travelled displacement s in the time t under uniform acceleration a.Let intial velocity of the object be u and the final velocity v.

s=1/2t(u+v) -1

from the veocity relation

v=u+at -2

substitute 1 in 2

s=1/2t(u+u+at)

=1/2t(2u+at)

s=ut+1/2at^2

Hope it helps and pls mark it as the best.

Answer 2

Answer:

Consider an object which has travelled displacement s in the time t under uniform acceleration a.Let intial velocity of the object be u and the final velocity v.

x=1/2t(u+v) -1

from the veocity relation

v=u+at -2

substitute 1 in 2

x=1/2t(u+u+at)

x=1/2t(2u+at)

x=ut+1/2at^2

Hope it helps and pls mark it as the best.