A bob of mass $0.1kg$ hung from the ceiling of a room by a string $2m$ long is set into oscillation. The speed of the bob at its mean position is $1m{s}^{-1}$. What is the trajectory of the bob if the string is cut when the bob is

A at one of its extreme positions

B at its mean position

$\text{Free fall of body in vertical direction}$

At the extreme position, the velocity of the bob becomes zero. If the string is cut at this moment, then the bob will fall vertically downwards, just like under free fall.


$\text{Applying Newton’s second equation of motion in vertical direction}$

At the mean position, the velocity of bob is $1m{s}^{-1}$ in the horizontal direction; then it will trace a projectile path having constant horizontal velocity i.e., $1m{s}^{-1}$. under the influence of gravity which is acting vertically downward.