What is this equation called? Can it work Horizontially as well?

[Tyrion101]

In my most recent math class one of the equations we had to know was -16t²+Tv₀+Th₀, I may have put the little letters out of order, but that is the basic formula, it has to do with figuring how long it will take something to land, the H being the point at which the projectile was fired/thrown from. I was playing angry birds, and thought it might work sideways as well as vertically? Basically I guess I'm asking if this isn't a horizontal equation, what would it be?

 

[Mark44]

In my most recent math class one of the equations we had to know was -16t²+Tv₀+Th₀

1. This is NOT an equation. An equation always has the = symbol between two expressions.
2. Your formula is incorrect. It should be h(t) = -16t² + v₀t + h₀. There is no time factor with the h₀ term, and you shouldn't write both t and T for the same thing. The letter t is usually used to indicate time.

This function gives the height at time t, of an object thrown with an initial velocity of v₀ from an initial height of h₀.

, I may have put the little letters out of order, but that is the basic formula, it has to do with figuring how long it will take something to land, the H being the point at which the projectile was fired/thrown from. I was playing angry birds, and thought it might work sideways as well as vertically? Basically I guess I'm asking if this isn't a horizontal equation, what would it be?

The function above is strictly the vertical position at a given time. The -16t² term is the clue there.

To find the position of a ball thrown horizontally or at some angle from the horizontal, you have to break up the velocity vector into its vertical and horizontal components.

 

[1MileCrash]

Gravity does not pull horizontally, does it?

 

[SteamKing]

And you should be aware that the formula holds true only for one system of units. (Hint: it's not the metric system)

 

[CellCoree]

This equation is called the kinematic equation for displacement. It can be used to calculate the time it takes for a projectile to land, given the initial velocity and starting point. This equation can work horizontally as well, as long as the initial velocity and starting point are known. If the projectile is moving in a horizontal direction, the equation would be -16t^2 + Vx0 + Hx0, where Vx0 is the initial velocity in the horizontal direction and Hx0 is the starting point in the horizontal direction. So yes, this equation can work for both vertical and horizontal motion.