To determine the distance traveled by the ball after 10 seconds, we need to calculate the total displacement, which consists of both the downward displacement due to gravity and the upward displacement during the initial release.
The formula to calculate the displacement of an object under constant acceleration is:
Displacement = Initial Velocity x Time + (1/2) x Acceleration x Time²
In this case, the ball is released from rest, so the initial velocity is zero. The acceleration is due to gravity and is approximately 9.8 m/s². Plugging in the values:
Displacement = 0 x 10 s + (1/2) x 9.8 m/s² x (10 s)² Displacement = 0 + (1/2) x 9.8 m/s² x 100 s² Displacement = 0 + 490 m Displacement = 490 m
Therefore, the distance traveled by the ball after 10 seconds is 490 meters.