A projectile is shot from the ground at a velocity of #4 m/s# at an angle of #pi/3#. How long will it take for the projectile to land?
Use the equation of motion:
The vertical component of the initial velocity is
At the maximum height the final velocity is zero. We can find the time taken to reach this point.
At this point the equation becomes:
Converting radians to degrees:
The second leg of the flight is when the projectile falls to earth. Because the path is symmetrical this will also be equal to
So total time of flight =