A shell is fired from a long - range gun with an intial velocity `u = 1000 ms^(-1)` at an angle `30^(@)` to the horizontal. How long with the shell be in the air ? At what distance from the gun will it fall to ground ? The gun and the point where the shell lands are on the same horizontal line .

Explanation

To solve the problem step by step, we will break it down into two parts: finding the time of flight and then finding the horizontal range.

### Step 1: Finding the Time of Flight

The formula for the time of flight \( T \) of a projectile is given by:

\[
T = \frac{2u \sin \theta}{g}
...