Question

derivation of s =ut+at1/2²
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Answer 1

Answer:

please mark as brainliest answer.

Explanation:

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

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Answer 2

second equation of motion by integration

v=ds/dt

ds= vdt= (u+at)dt

int ds= int (u+at)dt= u int dt + a int tdt

[s]= u[t] + a[t²/2]

s-0 = u (t-0) + a(t²/2-0)

s= ut+ 1/2 at²

it is calculus method so understand it carefully

here in place of integration symbol only int is use