8.5.3 EQUATION FOR POSITION-VELOCITY
RELATION
From the velocity-time graph shown in
8.8. the distances travelled by the object
time t moving under uniform acceleration
is ren by the area enclosed within the
perium OABC under the graph. That is
area of the trapezium OABC
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Answer:
Here is your answer dear which may help you:-
Explanation:
Therefore,
s = Area of trapezium OABC
=(OA + BC) × OC / 2
Now, substituting OA = u , BC = v and OC = t, we get:
s = ( u+v ) t / 2 (Eq. 8.1)
From the velocity-time relation (Eq.8.6) we get,
t = ( v - u ) / a
Using Eqs. (8.11) and (8.12) we have,
s = (v+u)(v-u) / 2a
OR
2as = (2as=v2−u2).
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