The projectile is pulled down
by the force of gravity; it has
constant vertical acceleration.
The value of the acceleration
is the same on the way up as
on the way down.
There is no horizontal force
exerted on the projectile;
its horizontal acceleration
is zero (it has constant
horizontal velocity).
This simulation assumes that there
is no air resistance.
Vertical: constant acceleration
Horizontal: constant velocity
Time is the only link between
the vertical and horizontal motions.
Horizontal motion:
v = ∆x / ∆t
Vertical motion:
a = (vf ﹣ vi) / ∆t
∆y = (vi ∆t) + (½ a ∆t²)
vf² = vi² + (2 a ∆y)
x: hoizontal position
y: vertical position
vi: initial velocity
vf: final velocity
a: acceleration
t: time
K: kinetic energy
Ug: gravitational potential energy
For triangles that include a right angle:
longest side² = shorter side² + the other shorter side²
sin θ = side opposite to angle / longest side
cos θ = side adjacent to angle / longest side
tan θ = side opposite to angle / side adjacent to angle
The 'stop every second' feature is to make it a little
easier to recognize the projectiles constant vertical
acceleration...
the projectile has the same change in vertical velocity .
occurring each second, both up and down.
Download, free, from kirbyx.com