Podcast
Questions and Answers
What defines a projectile?
What defines a projectile?
A projectile is any object upon which the only force is gravity.
A projectile travels with a circular trajectory.
A projectile travels with a circular trajectory.
False (B)
What is the value of vertical acceleration caused by gravity?
What is the value of vertical acceleration caused by gravity?
- 9.8 km/h/s
- 0 m/s/s
- 10 m/s/s
- 9.8 m/s/s (correct)
Describe how the horizontal velocity of a projectile behaves.
Describe how the horizontal velocity of a projectile behaves.
What happens to the vertical velocity of a projectile each second?
What happens to the vertical velocity of a projectile each second?
The horizontal motion of a projectile is independent of its __________.
The horizontal motion of a projectile is independent of its __________.
For horizontally launched projectiles, what is the initial vertical velocity?
For horizontally launched projectiles, what is the initial vertical velocity?
What are the two equations needed to analyze a projectile's motion in two dimensions?
What are the two equations needed to analyze a projectile's motion in two dimensions?
The path of a projectile is called a __________.
The path of a projectile is called a __________.
How long is the drop in air for a plane traveling at 100 m/s from an altitude of 500 m?
How long is the drop in air for a plane traveling at 100 m/s from an altitude of 500 m?
How far away will the plane land horizontally from where it was launched?
How far away will the plane land horizontally from where it was launched?
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Study Notes
Characteristics of a Projectile's Trajectory
- A projectile is an object that has only gravity acting upon it.
- Projectiles follow a parabolic trajectory due to gravity's influence.
- There are no horizontal forces acting on projectiles, so there is no horizontal acceleration.
- Horizontal velocity of a projectile is constant, never changing in value.
- Vertical acceleration caused by gravity is 9.8 m/s², downward.
- Vertical velocity of a projectile changes by 9.8 m/s every second.
- Horizontal motion of a projectile is independent of its vertical motion.
Horizontal Velocity Component
- Horizontal velocity remains constant throughout the trajectory.
- Covers equal displacements in equal time periods.
- Initial horizontal velocity equals the final horizontal velocity (constant).
Vertical Velocity Component
- Vertical velocity changes due to gravity.
- Does not cover equal displacements in equal time periods.
- Magnitude and direction change, with magnitude decreasing upward and increasing downward.
Trajectory
- The combination of horizontal and vertical velocity components produces a parabolic trajectory.
Horizontally Launched Projectiles
- Have no upward trajectory and no initial vertical velocity.
- Require two equations for analysis, one for the x-direction and one for the y-direction.
Analyzing a Projectile in 2D
- Equation for the x-direction: x = vox t
- Equation for the y-direction: y = (1/2)gt²
- Velocity is constant horizontally, so acceleration is zero.
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