A projectile is shot at an angle of #pi/4 # and a velocity of # 2 m/s#. How far away will the projectile land?
To give a full explanation of the calculation method proved too long. So I have given a summery of the method I used.
Let total time of flight be
Find time of flight using
Vertical component of projectile
The vertical travel distance (upwards) at
This must match the downward distance due to gravity at
This is the mean velocity (downwards) multiplied by flight time
Equate them to each other and you have a quadratic that can be solved using the standard form equation.