Horizontal Projectiles

They help calculate the horizontal and vertical components of motion separately.

They are only used for vertical motion.

They are not useful for two-dimensional motion.

They only apply to objects moving in a straight line.

0 m/s²

9.8 m/s²

-9.8 m/s²

Depends on initial velocity

Δy = ½a_yt² + v_0,yt

Δy = v_0,xt

Δy = v_0,yt

Δy = ½a_xt² + v_0,xt

The horizontal velocity remains constant while the vertical velocity changes due to gravity.

Both horizontal and vertical velocities remain constant.

The horizontal velocity increases due to gravity.

The vertical velocity remains constant while the horizontal velocity changes.

0 m/s²

9.8 m/s²

-9.8 m/s²

1 m/s²

Initial velocity

Acceleration

Time

Displacement

You use completely new equations.

You apply old equations in new ways.

You ignore acceleration.

You only consider vertical motion.

Horizontally, the object experiences constant velocity.

Vertically, the object undergoes constant acceleration due to gravity.

Time is the only variable shared between both dimensions.

Acceleration is the same in both directions.

Zero

Equal to initial x-velocity

Depends on the mass

9.8 m/s

Δx = v_{0,x} t

Δy = v_{0,y} t + 0.5gt^2

v = u + at

F = ma

It doubles

It halves

It remains the same

It quadruples

Because it simplifies the analysis and allows the use of kinematic equations for each direction independently.

Because the horizontal and vertical motions are always equal.

Because gravity only affects the horizontal component.

Because the vertical component is not important.