Derive following equations for a uniformly accelerated motion : (i) v=u+at (ii) S=ut+1/2 at^2 (iii)...

Tianna Mayer

Tianna Mayer

Answered

2022-12-31

Derive following equations for a uniformly accelerated motion :
(i) v=u+at
(ii) S=ut+1/2 at^2
(iii) v^2=u^2+2aS
where the symbols have their usual meanings.

Answer & Explanation

michellegrosscju

michellegrosscju

Expert

2023-01-01Added 9 answers

(1) Equation of Motion:
V = u + at
Acceleration = change in velocity/Time taken
=> Acceleration = Final velocity-Initial velocity / time taken
=> a = (v-u) /t
=>at = v-u
=>v = u + at
This is the first equation of motion.
(2) Equation of motion:
S = u t + 1 2 a t 2
Distance = Average velocity X Time
Average velocity = (u+v)/2
Distance (t) = fraction numerator u plus v over denominator 2 end fraction cross times t…….eq.

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