Question

Derive the rotational analog of S=ut+1/2at² using diagram

Answer 1

Derived expression of s=ut + 1/2at^2 is given below.

Explanation:

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

S = 1/2t(u+v) -1

From the velocity relation:

v = u + at -2

substitute 1 in 2

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

=1/2 t(2u+at)

s=ut + 1/2at^2

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