A ball is fired horizontally with a speed of from a stationary cannon at the top of a hill. The ball lands on horizontal ground that is a vertical distance of below the cannon as shown below.
Assume air resistance is negligible.
Show that the time taken for the ball to reach the ground, after being fired, is .
Calculate the horizontal distance of the ball from the cannon at the point where the ball lands on the ground.
Determine the magnitude of the displacement of the ball from the cannon at the point where the ball lands on the ground.