From the data provided, we can observe the behavior of the ball as it is dropped from a height of 60 meters. Here's a breakdown of the speed and height over time, along with some analysis:
Table Summary
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At Time 0.0 seconds:
- Speed: 0 m/s (the ball starts at rest)
- Height: 60 m (initial height of the building)
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At Time 0.5 seconds:
- Speed: 7 m/s
- Height: 53 m
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At Time 1.0 seconds:
- Speed: 10 m/s
- Height: 43 m
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At Time 1.5 seconds:
- Speed: 15 m/s
- Height: 28 m
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At Time 2.0 seconds:
- Speed: 20 m/s
- Height: 8 m
-
At Time 2.5 seconds:
- Speed: 0 m/s
- Height: 0 m (the ball has hit the ground)
Analysis
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Acceleration:
- The ball accelerates downward under the influence of gravity, increasing its speed at a roughly constant rate (this reflects the constant acceleration due to gravity, approximately 9.81 m/s²).
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Height Reduction:
- The height of the ball decreases as time progresses until it reaches 0 m at 2.5 seconds.
-
Speed Increase:
- The speed of the ball increases steadily over time until it reaches a maximum speed before hitting the ground.
Key Points
- Total Time: The ball takes 2.5 seconds to hit the ground.
- Final Speed: The final speed when the ball hits the ground (0 m height) is not explicitly provided in the table; more information about the conditions of impact may be needed for precise calculations.
Conclusion
The table effectively demonstrates how free-falling objects behave, illustrating the relationship between time, speed, and height under the influence of gravity in a vacuum (assuming no air resistance). The motion can be analyzed using basic kinematic equations, and the data could be used to calculate the precise acceleration, final velocity, and distance fallen if additional calculations are performed.