To calculate the instantaneous velocity of the ball after 6 seconds, the distance fallen, and the average velocity up to that point, we need to know the height of the building and assume that the ball is subject to the acceleration due to gravity (9.8 m/s²) with no other forces acting upon it.
Let's assume the height of the building is represented by 'h' meters.
Instantaneous Velocity after 6 seconds: The velocity of an object in free fall can be calculated using the formula: v = gt, where 'v' is the velocity, 'g' is the acceleration due to gravity, and 't' is the time. For this case, after 6 seconds: v = 9.8 m/s² * 6 s v ≈ 58.8 m/s
Distance Fallen: The distance fallen can be calculated using the formula: d = 0.5 * g * t², where 'd' is the distance, 'g' is the acceleration due to gravity, and 't' is the time. For this case, after 6 seconds: d = 0.5 * 9.8 m/s² * (6 s)² d ≈ 176.4 m
Average Velocity up to 6 seconds: The average velocity can be calculated by dividing the total distance fallen by the time taken. In this case, after 6 seconds: Average Velocity = Total Distance Fallen / Time Taken Average Velocity = 176.4 m / 6 s Average Velocity ≈ 29.4 m/s
Please note that these calculations assume no air resistance or other external factors affecting the motion of the ball.