The ratio of time of flight for inelastic collision to elastic collision is 1:2
The given parameters;
- <em>mass of the bullet, = m₁</em>
- <em>mass of the block, = m₂</em>
- <em>initial velocity of the bullet, = u₁</em>
- <em>initial velocity of the block, = u₂</em>
Considering inelastic collision, the final velocity of the system is calculated as;

The time of motion of the system form top of the table is calculated as;

Considering elastic collision, the final velocity of the system is calculated as;

Apply one-directional velocity

Substitute the value of
into the above equation;

where;
is the final velocity of the block after collision
<em>Since the</em><em> bullet bounces off</em><em>, we assume that </em><em>only the block fell </em><em>to the ground from the table.</em>
The time of motion of the block is calculated as follows;

The ratio of time of flight for inelastic collision to elastic collision is calculated as follows;

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