# Trajactories

**Classical Mechanics**Level 3

Two guns are mounted on the top of a hill at height \(10m\). They fire one shot each with the same speed \[5\sqrt{3}\ ms^{-1}\] First gun fires at time \(t=0\) upwards at an angle \(60°\) with the horizontal. After that firing, at time \(\Delta\) second gun fires in horizontal direction. If the bullets fired by two guns collide with each other at some time in future, calculate the time interval \(\Delta\) between the two firings.

Details and assumptions:- 1)Take \(g=10m/s\)

2)Everything is measured in SI units

3)This question is taken from an old IIT test