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Question

A body undergoes a free fall. Taking downward direction as +ve Y direction and Yo is the initial position, Y coordinate at any time t is given by

A
YoY=12 gt2
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B
Yo=12 gt2
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C
YoY=12 gt2
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D
Yo+Y=12 gt2
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Solution

The correct option is C YoY=12 gt2
Initial position is Yo and downward is +ve Y direction so gravity (g) is acting in positive direction.
Displacement, s=ut+12at2,u=0 and a=g
We get, s=0+12gt2=12gt2
So, let the final position be Y=Yo+s=Yo+12gt2
YoY=12gt2

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