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Derivation of Position-Time Relation by Graphical Method

An object sta...

Question

An object starts from rest and travels with a constant acceleration of $g$ . What is the expression for its final velocity $v$ after travelling a distance of $S$ .

A

kg

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B

5 kg

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C

10 kg

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D

Zero

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Solution

The correct option is B
5 kg

Distance travelled - S
Initital velocity, u = 0 m/s
acceleration = g

$v^{2} = u^{2} + 2 g S$
Since u = 0,
$v^{2} = 2 g S$

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