Question

Deduce the equation s=ut +(1/2)at^2
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Answer 1

Explanation:

We know v=dx/ dt

dx=dtv..............1

v=u+at

Put equation 1

dx=dt(u+at)

dx= dtu + dtat

Integrated both sides with limit

When x=x0 then t=0

When x=x then t=t

After Integration

x-x0= ut+a(t^2)/2

S=ut+1/2at^2