# The hyperbola

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
Gold Member
2019 Award
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.

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SteamKing
Staff Emeritus
Homework Helper
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

SammyS
Mark44
Mentor
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