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Question

From kinematics, correct equation of motion for $$S$$ is/are :


A
S=ut12at2
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B
S=ut+12at2
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C
Both (a) and (b)
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D
None of these
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Solution

The correct option is B Both (a) and (b)
According to the second equation of motion,

$$s = ut+\dfrac{1}{2}at^2$$

where, $$s$$=displacement
$$u$$=initial velocity
$$t$$ = time
$$a$$=acceleration

(i) If the displacement and acceleration are in the same direction, then,

$$s=ut+\dfrac{1}{2}at^2$$
where $$a$$ is the magnitude of the acceleration

For example, a car linearly accelerating on road.

(ii) If the displacement and acceleration are in the opposite direction, then,

$$s=ut-\dfrac{1}{2}at^2$$
where $$a$$ is the magnitude of the acceleration

For example, a ball thrown vertically upwards in air

Hence, the correct option is C. 

Physics

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