Purpose: To investigate the relationship between distance and time for a ball rolling down an incline. Data: Table A | Time (s) | Incline 25° | Distance (cm) | Trial 1 | Trial 2 | Trial 3 | Average | 20.5 | 0.31 | 0.32 | 0.29 | 0.31 | 41 | 0.47 | 0.27 | 0.38 | 0.37 | 61.5 | 0.51 | 0.52 | 0.31 | 0.45 | 82 | 0.67 | 0.54 | 0.45 | 0.55 | 102.5 | 0.69 | 0.90 | 0.58 | 0.72 | 123 | 0.88 | 0.67 | 0.58 | 0.71 |
Table A | Time (s) | Incline 30° | Distance (cm) | Trial 1 | Trial 2 | Trial 3 | Average | 20.5 | 0.27 | 0.32 | 0.41 | 0.33 | 41 | 0.35 | 0.32 | 0.41 | 0.36 | 61.5 | 0.41 | 0.66 | 0.47 | 0.43 | 82 | 0.51 | 0.66 | 0.64 |
0.60 | 102.5 | 0.74 | 0.74 | 0.75 | 0.74 | 123 | 0.82 | 0.77 | 0.79 | 0.79 |
Analysis: 1. What is acceleration? Acceleration is the rate at which an object changes its velocity; whether it’s speeding up or slowing down. 2. Does the ball accelerate down the ramp? The ball does accelerate down the ramp because the velocity is changing every 20.5 centimeters. For example, the velocity of the ball from 61.5-82cm was faster than the velocity from 82-102.5cm.
3. What happens to the acceleration if the angle of the ramp is increased? When the angle of the ramp is increased the acceleration of the ball also increases. Meaning if the ball accelerated down the ramp at 14cm/s on the first ramp with an angle of 25°, than the ball on the second ramp would have increased its acceleration to about 16cm/s with an angle of 30°.
Conclusion:
In conclusion, I discovered that the ball does in fact accelerate down the ramp.
When you increase the ramp’s angle the ball will accelerate faster. The ball did accelerate slowly were it should have speeded up; an error in using the stopwatch.
However the investigation was a complete success; learned that the relationship between the distance and time for a ball rolling down an incline is highly unpredictable and many errors will occur.