Question

prove that v=u+at solve that.solve that

Answer 1

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Here is your answer
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Initial velocity = u

Final velocity = v

Time = t

Acceleration = Change in Velocity / Time

$a \: = \: \frac{v \: - \: u}{ \: t \: } \\ \\ at \: = \: v \: - \: u \\ \\ u \: + \: at \: = \: v \\ \\ hence \: proved$

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Answer 2

BC=BD+DC=BD+OA
Substituting BC=v and OA=u
We get v=BD+u
Or. BD=v-u–––––(1)
From the velocity-time graph the acceleration of the object is given by
a=change in velocity/time taken
BD/AD=BD/OC
Substituting OC=t,we get
a=BD/t
Or. BD=at–––––(2)
Using equation(1)&(2)we get,
v=u+at————(hence proved)