a ball is dropped through the window of a train travelling with high velocity to a man standing near the track. the ball]
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From a purely mathematical perspective, yes, the ball will follow a parabolic path. In reality though, the path will only be approximately parabolic.
The two biggest factors affecting its path will gravity, but also air resistance. Since you specify a train and a man dropping a ball onto the platform as it passes, air turbulence will also be a factor. However, the type of ball is also relevant. A bowling ball will follow a very parabolic path, a tennis ball will be more likely sucked under the train, and a ping-pong ball will probably get caught up in the vortex and follow a spiralling path.
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A ball is dropped through the window of a train travelling with high velocity to a man standing near the track.
The path followed by it will be parabolic.
If we don’t consider the air that will be applying pressure on the ball due to the force, the ball will simply react to gravity and will slow down with speed forming a parabola.
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