Question

define equation of motion ( for uniformly accelerated motion )​

Answer 1

Answer:

A body with uniformly accelerated motion travels, in any given time, the same distance that would be traveled by a body moving with a constant velocity equal to the average velocity of the first body." Where have we applied: v a = v + v 0 2. v = v 0 + a ⋅ t.

Explanation:

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Answer 2

Explanation :-

${\purple{\boxed{\large{\bold{First\: Equation\::\:v\:=\:u\:+at}}}}}$

Final velocity = initial velocity + acceleration × time

Graphical derivation :-

suppose a body has initial velocity "u" ( i.e. velocity at time t = 0 sec ) at point "A" and this velocity changes to "v" at point "B" in "t sec" i.e. final velocity will be "v"

For such a body there will be an acceleration :-

"a" = changes in velocity/ change in time

⟹ a = (OB - OA ) / (OC - O) = (v -u) / (t - 0)

⟹ a = (v - u ) / t

⟹ v = u + at

Two types of non uniform motion :-

(i) Accelerated motion :-

when motion of a body increases with the time.

(ii) De - accelerated motion :-

when motion of a body decreases with the time.

________________

v = velocity

u = initial velocity

a = acceleration

t = time