the bottle will land in her lap
Chat with our AI personalities
If air resistance is neglected, the bottle will fall with the same acceleration as any other object due to gravity. Without air resistance, the bottle will accelerate downwards at a constant rate of 9.81 m/s^2 (assuming no other forces are acting on it).
Air resistance slows down the free fall of the empty 2 liter plastic bottle by exerting an upward force against the downward force of gravity. This results in the bottle taking longer to reach the ground compared to if there was no air resistance.
Air resistance is often neglected in the model of projectile motion because it simplifies the calculations and allows for easier analysis. In many cases, the effects of air resistance on the motion of a projectile are relatively small compared to other factors like gravity. Additionally, for short-range projectiles and for idealized conditions, the impact of air resistance may not significantly alter the final result.
Both darts will hit the ground at the same time, assuming air resistance is neglected. This is because the vertical component of motion (due to gravity) is the same for both darts, regardless of their horizontal velocities.
The air in the balloon will have a difficult time expanding to fill the bottle because the bottle is already filled with air at atmospheric pressure, which creates resistance. The pressure inside the balloon needs to overcome the pressure inside the bottle in order for the balloon to expand and fill the bottle.
The air pressure inside the bottle will increase as more air is filled up inside. This is because the air molecules are compressed, resulting in higher pressure.