Horizontal projection calculator

Acceleration Free fall Projection

Motion equations Table of inputs calculations Detail solution

Horizontal downward projection

*Input 3 values in any allowed fields

System of units:

Run

Initial incline velocity (V₀ ):
Projection initial angle (θ₀ ):
Horizontal velocity (V_x ):
Vertical initial velocity (V_0y ):

Projection distance (S):
Total travel time (T):
Vertical distance (H):
Vertical final velocity (V_t ):
Vertical final velocity (V_ty ):
Projection final angle (θ_t ):

Projection path equation:
Input limit:

The downward projection combines two motions, constant speed in the x direction and free fall in the downward y direction. The motion equations are:

In the x direction:

In the y direction:

The path of the downward projection describes the right half of the parabola and is:
(the equation is derived from the general equation of motion of a projection θ₀ = 0)

The signs of the variables should follow the rules

Positive values:

V_x

V₀

V_t

Negative values:

θ₀

θ_t

V_0y

V_ty

Example of detailed solution

An object is launched downward at an angle of -35° degree and initial velocity of 12 m/s. Find all the parameters at the point the object is at a velocity of 25 m/s.

From the question we have the values of:

V_0=12 m/s θ_0=-30° V_t=25 m/s