Tianna Mayer

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.

michellegrosscju

Expert

(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:
$S=ut+\frac{1}{2}a{t}^{2}$
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.

Do you have a similar question?