To determine the final velocity of the ball just before it hits the ground and the height of the building, we need to make a few assumptions and use basic physics equations.
Assumptions:
- We assume that there is no air resistance affecting the motion of the ball.
- The initial velocity of the ball when it was thrown or dropped is not given.
Let's use the equation of motion for free fall:
h = (1/2) * g * t^2
where: h is the height of the building, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time it takes for the ball to hit the ground (8.2 seconds).
To find the height of the building (h), we can rearrange the equation:
h = (1/2) * g * t^2 h = (1/2) * 9.8 m/s^2 * (8.2 s)^2 h = (1/2) * 9.8 m/s^2 * 67.24 s^2 h ≈ 330.56 meters
Therefore, the height of the building is approximately 330.56 meters.
To determine the final velocity of the ball just before it hits the ground, we can use the equation:
v = g * t
where: v is the final velocity of the ball, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time it takes for the ball to hit the ground (8.2 seconds).
Substituting the values:
v = 9.8 m/s^2 * 8.2 s v ≈ 80.36 m/s
Therefore, the final velocity of the ball just before it hits the ground is approximately 80.36 m/s.