What is
projectile motion?
"A projectile is an
object that moves in two dimensions under the influence of
only gravity."
Physics
for Scientists and Engineers (p. 85).
In projectile motion
problems, air resistance is considered negotiable and the motion
of the
projectile is a parabolic
path. This is the objects trajectory.
The initial thrust of the
object is known as the launch. The angle of initial velocity
above the
horizontal is known as the
launch angle.
Above is a
graph that shows the initial velocity, its components, the
launch angle, and the
parabolic trajectory.
"projectile motion is made up of
two independent motions: uniform motion at constant
velocity in the horizontal
direction and free-fall motion in the vertical direction."
Physics
for Scientists and Engineers (ch.4).
The
equations above are for projectile motion where the
initial position is zero in both the
x and y directions, the
acceleration in the x direction is zero. Note the only
connection
between the two
equations is time, otherwise the equations are
independent of each other.
In order to solve
projectile motion equations solve for t in the y
direction equations and
plug the found values
based off given values into the x direction equations.
In projectile motion the
distance an object travels in known as the range.
Example:
What is the distance a
ball travels if a baseball player throws the ball with
an initial speed
of 45 m/s with a launch
angle of 45 degrees.
So the baseball
player threw the ball 17.85 meters.