Reverse Gravity Toddler Control

Par 5

Question 50intermediateSheet 1750822302

Deep Breath

Gravity reversed in your neighborhood and toddlers now throw things onto the ceiling. Design a safety system for toys that fall upward, accounting for air resistance, ceiling bounce patterns, and the aerodynamics of sippy cups. Your approach must predict safe zones in rooms where Cheerios rain down from above and stuffed animals achieve orbital patterns around ceiling fans. Factor in momentum when gravity randomly flips back to normal - the transition period creates a deadly hail of previously ceiling-stuck Legos. The homeowners insurance company wants mathematical proof that your system prevents concussions, and the toddlers think this is the best game ever invented. Your task: Create physics models for inverted child safety that handle gravity transitions without turning playrooms into war zones.

Why You're Doing This

This is Newtonian mechanics flipped literally upside down with chaotic transitions. You're modeling ballistic trajectories in reverse, calculating impact forces from above, and designing safety zones for bi-directional gravity. The challenge tests your ability to think in inverted reference frames while panicked parents demand solutions. Write the SHORTEST CODE that keeps toddlers safe in gravitationally unstable spacetime.

Take the W

✓ Prevents ceiling impact injuries during reverse gravity
✓ Handles transition periods without dangerous falling objects
✓ Maintains safe zones for toddler play

Hard L

✗ Allows Lego rain during gravity transitions
✗ Creates suffocation hazards with safety equipment
✗ Ignores ceiling fan vortex effects

Edge Cases

⚠ Gravity oscillates rapidly (0.5Hz frequency)
⚠ Helium balloons now sink aggressively
⚠ Toddler learns to jump down to reach ceiling
⚠ Pet cat stuck on ceiling refuses rescue
⚠ Toilet water flows upward (different problem entirely)

Input Format:

Room object with gravity state tracker

Expected Output:

Real-time safety status and mitigation actions

Example:

{"gravity":-9.8,"toys_airborne":5,"fan_speed":60,"toddler_positions":[{1,2}]} → {"danger_level":"HIGH","action":"activate_ceiling_nets","safe_zones":[[0,0],[3,3]]}

Input Format:

Initial velocity v₀, object mass m, gravity g(t)

Expected Output:

Impact force F(t), safe padding depth d

Example:

v₀=2m/s upward, m=0.5kg, g(t) flips at t=10s → F_ceiling=5N, F_floor_return=15N, d_min=10cm foam

Hints

💡 Ceiling fans create toroidal vortices when gravity inverts
💡 Sippy cups have worst aerodynamics when full
💡 Legos achieve terminal velocity in 2.3 meters

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