Factors that influence projectile motion and trajectory

the flight path of the center of gravity of a projectile

Trajectory

Trajectory is affected by what three biomechanical factors:

1) Projection angle 2) Projection velocity 3) Relative projection height

The trajectory factors exert their effects __ the projectile is released.

before

The shape of the parabolic path can vary depending on the ___ at which the object is projected.

Projection Angle

Projection angle is also called the...

angle of attack

One extreme situation is a projectile that is released perfectly horizontally (projection angle of 0°).This force will create a trajectory that is __ a parabola.

half

Another extreme is a projectile that is released perfectly vertically (projection angle of __°). Will not travel at all in the horizontal direction.

90°

The projectile released at 90° will have a __ path vertically upward, and then a __ path vertically downward.

rectilinear

Situations of an oblique projection angle; there is both a horizontal and vertical angle.

Rectilinear

Fluid resistance may somewhat distort the shape of the trajectory, depending on the __ of the projectile and the __.

mass of the projectile and flight time

The initial velocity or velocity at release is the __ velocity

Projection Velocity

Variable that affects the height and length (or size) of the trajectory

Projection Velocity

Relative projection height: the mathematical difference between the height of projectile ___ (projection height), and the height of projectile ___ or landing (impact height)

projectile release and projectile impact

With all other factors held constant, the greater the relative projection height, the ____ the flight time of the projectile.

longer the flight time

Laws of ____: relate acceleration, displacement, time, and velocity in the condition of a constant gravitational acceleration

laws of uniformly accelerated motion

The laws of uniformly accelerated motion apply directly to ___ motion.

projectile motion

This equation enables us to calculate a projectile's velocity at any time, if initial velocity and a constant acceleration are known

First law of Uniformly Accelerated Motion

This equation enables us to calculate the final position of a projectile with respect to initial velocity and acceleration

Second Law of Uniformly Accelerated Motion

This equation enables us to calculate the final velocity of a projectile with respect to acceleration and displacement.

Third Law of Uniformly Accelerated Motion

For the vertical component of projection and the third law of uniformly accelerated motion several factors must be considered:

Gravity

Air resistance

Relative projection angle

Projection velocity

Relative projection height

The ___ law of uniformly accelerated motion can give us a clearer understanding of vertical projectile motion

Third

Acceleration is caused by...

gravity

The projectile velocity vector may not be __.

perfectly vertical

The size of the vertical component of the velocity vector varies with___.

Projection angle

Projection velocity is a major factor in ___ of a projectile.

vertical displacement

We must optimize use of the ___ to impart as much velocity as possible to the projectile before release or take off.

kinetic chain