If a projectile is shot at a velocity of #9 m/s# and an angle of #pi/6#, how far will the projectile travel before landing?
Let the velocity of projection of the object be u with angle of projection
The vertical component of the velocity of projection is
Now if the time of flight be T then the object will return to the ground after T sec and during this T sec its total vertical dosplacement h will be zero. So applying the equation of motion under gravity we can write
The horizontal displacement during this T sec is
In our problem
So the distance travelled by the projectile before landing is