
Trimester Two
Projectile:Definition
An object on which the only force is gravity, if the effect of air resistance is neglected.
"A projectile is any object which once projected or
dropped continues in motion by its own inertia and is influenced only
by the downward force of gravity." (What is a Projectile?)
So, a projectile is influenced by gravity, its own inertia, and air resistance.
What is projectile motion?
Projectile motion describes the path that a
projectile will take. With no air resistance, the launch angle for
maximum horizontal range is 45 degrees. However, in the real world, air
resistance causes the firing angle for maximum horizontal range to be
different than 45 degrees. The force of the air resistance varies
as the square of the velocity.
Force = k times v squared
k is a constant that changes depending on the density of the air, shape of the projectile, the cross-sectional area.
So, there is more force on the projectile at the launch and just
before landing than there is at the top of its parabola.
So, for maximum range in air should a projectile be launched at more or
lesse than 45 degrees? Finding the answer to this question is
what my project is about.
History
Galileo was the first scientist who realized that
there was projectile motion. He separated motion into its vertical and
horizontal components. He came to realize that any projectile's path
will be a parabola. This explained why two objects dropped in a vacuum
hit the ground at the same time, even if one is moving horizontally,
because the vertical acceleration of both objects is the same.
Interesting facts:
When firing a cannon, it is fired at more then 45 degrees for maximum
range. This is because the higher you go, the thinner the air, so the
easier to travel through. The shell can go slightly farther before
coming back down to earth.