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##### Question: 1

Prove That
S= Vit +1/2 at²

##### Answer: 1

1-17Second Equation of Motion:
The total distance S travelled by the body is equal to the total area OABD under the graph. That is Total OACD+ triangle ABC)
Area of OACD = OA x OD
= Vi xt
Area of ABC = 1/2 ( ACxBC)
=1/2 (tx at)
Since
Total area = Area of rectangle OACD + OABD area of triangle ABC putting values in the above equation , we get
S = Vit + 1/2 t x at
S= Vit +1/2 at²