It so happened that since I secured full marks in a test of projectile motion, my teacher challenged me to find the answer to a question. Here it is:-
The first thing that came to my mind was the formula , but I realized that that was the formula for finding the horizontal range(displacement) by the projectile and not the distance.
Here is my approach for the problem:-
We break the trajectory into infinitely small bits such that it forms a right triangle of sides and . Let the hypotenuse be .
Using Pythagoras' theorem:-
Note that here is the horizontal range of the projectile.
But my method seems too long. Is there any shorter method? Please post a shorter solution if there is one. (Air resistance is neglected).