Understanding Hyperbolas: When Objects Move Horizontally

[thecosmos123456]

when an object is thrown horizontally ,after some time when the effect of the applied force is less than the effect of gravity then it changes its path and bends towards the Earth and the path is called a parabola ,then in the same sense how can we define hyperbola?

 

[Khashishi]

Parabola and hyperbola are defined by their mathematical shape, not by physical trajectories. They are both conic sections.

 

[WWGD]

Why do you think there is a similar description for a hyperbola? I am not aware of any , though this of course does not mean there isn't one. But you can consider the physical aspects of parabolic mirrors/antennas and their reflecting properties.

 

[SteamKing]

when an object is thrown horizontally ,after some time when the effect of the applied force is less than the effect of gravity then it changes its path and bends towards the Earth and the path is called a parabola ,then in the same sense how can we define hyperbola?

I don't know if there is a terrestrial situation which results in a hyperbolic trajectory, but it is common to find hyperbolic orbits for bodies which are traveling faster than the escape velocity of the orbited body.

It's called an escape, or hyperbolic, trajectory:

https://en.wikipedia.org/wiki/Hyperbolic_trajectory

 

[Mark44]

when an object is thrown horizontally ,after some time when the effect of the applied force is less than the effect of gravity then it changes its path and bends towards the Earth and the path is called a parabola ,then in the same sense how can we define hyperbola?

You're misunderstanding things here. Gravity doesn't act "after some time." If the object is thrown, the only force (and hence, the only acceleration) on the object is that due to gravity. If one object is dropped straight down, and another object is thrown horizontally, both object will cover the same vertical distance in the same amount of time.

 

[pbuk]

If you could fire a bullet from a gun at about 25,100 mph (i.e. more than Earth's escape velocity which is 10x faster than bullets actually travel) and ignore air resistance, the bullet will follow (part of) an hyperbola.

 

[tommyxu3]

The trajectory may depend on the object's initial condition and the net force it has during the whole process. The star's gravitation can make a hyperbola trajectory but it's not the way to define it.