A ball is dropped from a tall building. Using high-speed camera data, the distance fallen is recorded at various time points.
The ball starts from rest (initial velocity = 0). Air resistance is negligible.
Your task:
💡 Key question: Is the relationship linear (s ∝ t) or something else?
Look at how the distance grows as time increases.
| Time (s) | Distance (m) |
|---|---|
Write the distance-time relationship in LaTeX
Kinematic Equation (Free Fall from Rest)
g (fitted)
9.78
m/s²
R²
0.999
The parabolic curve perfectly matches the data, confirming s = ½gt². The slight deviation from g=9.81 is due to measurement noise.