Question

Drive the relation analytically for uniformly accelerated motion along a straight line s=ut+1/2at”,
where symbols have their usual meaning​

Answer 1

Answer:

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Explanation:

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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.

At t = 0, initial velocity = u = OA  

At t = t, final velocity = v = OC

The distance S travelled in time t = area of the trapezium OABD

s = (1/2) x (OA + DB) × OD

s = (1/2) x (u + v) × t  

Since v = u + at,

s = (1/2) x (u + u + at) × t

s = ut + (1/2) at2