Question

Prove the first equations of speed v = u + at​

Answer 1

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Answer 2

$\huge\mathfrak\purple{Answer :}$

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$<b><I>The First Equation of Motion which is v = u + at gives us the Relation Between the Velocity and Time. It gives the Velocity Acquired by a Body in time t.$

DERIVATION :

Consider a Body having an initial velocity 'u'. Suppose it is Subjected to a Uniform Acceleration 'a' so that in the span of time 't' it's final Velocity becomes 'v'. Now, Acceleration is Defined as :
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$acceleration \: = change \: in \: velocity \div time \: taken \\ or \: acceleration \: = final \: velocity \: - initial \: velocity \div time \: taken \\ a \: = v - u \div t \\ at \: = v \: - u \\ v \: = u + at$
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Hence, the Equation v = u + at is known as the First Equation of Motion

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$\huge\mathfrak\red{Hope\: it\: helps}$