Final answer:
The ball will take an infinite amount of time to reach the catcher as it has an initial horizontal velocity of 0 m/s.
Step-by-step explanation:
To solve this problem, we can use the equation for horizontal distance traveled in projectile motion, which is given by:
distance = velocity * time
In this case, the distance traveled horizontally is 50m and the velocity in the x-direction is the initial velocity of the ball. Since the ball is thrown horizontally, the initial velocity in the y-direction is 0 m/s. Using the equation for time, we can solve for the time it takes for the ball to reach the catcher:
time = distance / velocity
Substituting the values, we have:
time = 50m / 0 m/s = undefined
Since the ball has an initial horizontal velocity of 0 m/s, it will take an infinite amount of time for the ball to reach the catcher. Therefore, the correct answer is not among the options given.