Question

A number of bullets are fired horizontally with different velocities from the top of a tower. They reach the ground

Easy

Solution

For horizontal projection form a height , considering vertical motion h = 1/2 gt² .
Time taken by the bodies to reach the ground = T = $\sqrt{\frac{2 h}{g}}$ is same for all the bodies.
Horizontal component of velocity remains constant resultant velocity just before hitting the ground =
$\large \sqrt {{v^2} + {u^2}}$
Since 'u' is different for different bullets , resultant velocity will also be different.So option (3) is right.

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