Answer
The ball lands a distance of $~~8.9~m~~$ beyond the fence.
Work Step by Step
The ball travels a horizontal distance of $97.5~m$ in a time of $5.5~s$
We can find $v_x$:
$v_x = \frac{97.5~m}{5.5~s} = 17.73~m/s$
Since the ball reaches the maximum height in $3.0~s$, the total time of flight is $6.0~s$
We can find the total horizontal distance the ball travels:
$x = (17.73~m/s)(6.0~s) = 106.4~m$
We can find the distance beyond the fence where the ball lands:
$d = 106.4~m-97.5 = 8.9~m$
The ball lands a distance of $~~8.9~m~~$ beyond the fence.
