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Q.

Is it true that in the equations of motion, acceleration $a$ and distance $s$ can be replaced by the acceleration due to gravity $g$ and height from ground $h$ for a freely falling body?

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a

True

b

False

answer is A.

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Detailed Solution

The above statement is true.
Newton’s laws of motion are applicable everywhere for any uniformly accelerated object.
In a freefall motion, objects are subjected to acceleration due to gravity, which is constant everywhere on the earth. So the free fall motion is called uniformly accelerated motion. That’s why Newton's laws are applicable in free fall motion.
In free fall motion, the acceleration a and distance s are replaced by the acceleration due to gravity g and height from ground h for freely falling bodies. The equations of motion become.

v = u + gt

h = ut + \frac{1}{2} g t^{2}

v^{2} = u^{2} + 2 gh

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Is it true that in the equations of motion, acceleration a and distance s can be replaced by the acceleration due to gravity g and height from ground h for a freely falling body?