Final answer:
To determine the initial horizontal velocity, we can use the principle of horizontal motion which states that there is no acceleration in the horizontal direction.
option A is the correct
Step-by-step explanation:
To determine the initial horizontal velocity of the soccer ball, we can use the principle of horizontal motion which states that there is no acceleration in the horizontal direction. Therefore, the initial horizontal velocity of the ball will remain constant throughout its motion.
We can use the equation:
Horizontal distance = horizontal velocity × time
In this case, the horizontal distance is 35.0 meters and the time is the total time of flight. We can find the total time of flight using the vertical motion equation:
Vertical distance = vertical initial velocity × time + (0.5 × acceleration due to gravity × time^2)
Since the initial vertical velocity is 0 (the ball starts from rest vertically), we can simplify the equation to:
Vertical distance = 0.5 × acceleration due to gravity × time^2
Using this equation, we can find the time of flight. Once we have the time of flight, we can substitute it into the horizontal motion equation to find the initial horizontal velocity.
A. 1.6 m/s