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Consider the position vs. time graph of an object in free fall. What mathematical function describes...

Consider the position vs. time graph of an object in free fall. What mathematical function describes this curve? Explain why this must be true.

Solutions

Expert Solution

For Free fall , relation between position and time is

negative sign is taken due to acceleration due to gravity is in downward direction.

u = initial velocity.

t = time

s = position function.

Free Fall occurs due to Force due to gravity.

according to newtons second law;

Net force in direction of motion = mass * Acceleration in the given direction

Hence; in case of free fall condition, only Self weight of object act in downward direction

therefore

acceleratiom (a) = g (acceleration due to gravity)

So, acceleration during Free fall is constant.

We know the relation between position(s) and acceleration(s)

then

where a = constant

upon integration

again integrating

where

c and c₁ are arbitary constant.

genius_generous answered 1 year ago

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