Dropped vs. Thrown Rock — Cliff Physics
GED Science — Projectile motion, gravity, and air resistance
The scenario
Two people stand at the edge of a high cliff. At the exact same moment:
- Person A drops a rock straight down (vertical drop)
- Person B throws a rock horizontally outward (projectile)
According to Galileo's principle: both rocks should hit the ground at the same time — because gravity pulls both downward at the same rate regardless of horizontal motion.
The GED question asks: "Which uncontrolled part of this investigation can prevent the rocks from hitting the ground at the same time?"
The experiment diagram
The dropped rock falls straight down. The thrown rock travels outward — but both fall the same vertical distance in the same time.
Interactive cliff simulator
Adjust air resistance and throw speed, then press Launch to see both rocks fall. Watch how air resistance affects the thrown rock's landing time.
What to observe
- With air resistance OFF: both rocks land at the exact same time — Galileo's principle holds
- With air resistance ON: the thrown rock lands slightly later — air drag on its horizontal path slows its overall descent
- A faster throw speed increases the effect of air resistance even more
- Cliff height affects how long each rock is in the air, but not whether they land together
What is air resistance?
Air resistance (also called drag) is a friction force that acts on any object moving through air. It pushes back against the direction of motion.
Key facts:
- Air resistance increases with speed — faster objects experience more drag
- Air resistance increases with surface area — wider objects experience more drag
- Air resistance acts in the opposite direction of motion
- It is not constant — it changes as the object's speed changes
Controlled vs. uncontrolled variables
| Variable | Dropped rock | Thrown rock | Controlled? |
|---|---|---|---|
| Height of cliff | Same | Same | ✓ Yes |
| Gravity (9.8 m/s²) | Same | Same | ✓ Yes |
| Mass of rock | Same | Same | ✓ Yes |
| Release time | Same | Same | ✓ Yes |
| Air resistance | Low (vertical only) | Higher (horizontal + vertical) | ✗ NOT controlled |
| Throw strength | Zero | Variable | ✗ NOT controlled |
Why NOT gravity, mass, or throw strength?
Full answer breakdown
"Which uncontrolled part of this investigation can prevent the rocks from hitting the ground at the same time?"
Gravity is NOT uncontrolled — it is constant for both rocks. It acts downward at 9.8 m/s² on both. Gravity is the reason Galileo predicted they would land together, not why they might land apart.
Mass does not affect free-fall time. Galileo's famous experiment proved this — a cannonball and a musket ball dropped from the same height land at the same time. Mass is also controlled in the experiment setup.
The thrown rock moves horizontally at speed — creating much more air resistance than the dropped rock (which only moves vertically). Air resistance is uncontrolled because it depends on the rock's speed and shape, which can vary. In real-world conditions (not a vacuum), this drag could delay the thrown rock's landing.
In ideal physics, throw strength only affects how far the rock travels horizontally — not how fast it falls vertically. Horizontal and vertical motion are independent. Throw strength alone would not prevent simultaneous landing.
