Podcast
Questions and Answers
What determines the initial horizontal velocity ($V_{ix}$) of an object propelled horizontally?
What determines the initial horizontal velocity ($V_{ix}$) of an object propelled horizontally?
- The force applied to it
- The conditions of the launch (correct)
- The height from which it is dropped
- The angle at which it is launched
Which factor does NOT affect the time it takes for a horizontally launched projectile to hit the ground?
Which factor does NOT affect the time it takes for a horizontally launched projectile to hit the ground?
- The height of the launch point
- The horizontal distance traveled (correct)
- The initial horizontal velocity
- The acceleration due to gravity
What is the vertical acceleration ($a_{y}$) of an object in free fall?
What is the vertical acceleration ($a_{y}$) of an object in free fall?
- 0 m/s²
- 9.81 m/s²
- Varies with altitude
- -9.81 m/s² (correct)
When two tennis balls are dropped from the same height, one thrown horizontally and the other dropped vertically, which statement is true?
When two tennis balls are dropped from the same height, one thrown horizontally and the other dropped vertically, which statement is true?
If air resistance is neglected, what can be said about the horizontal velocity ($V_x$) of a horizontally launched object?
If air resistance is neglected, what can be said about the horizontal velocity ($V_x$) of a horizontally launched object?
Which of the following best describes the relationship between horizontal and vertical motion in projectile motion?
Which of the following best describes the relationship between horizontal and vertical motion in projectile motion?
What is the initial vertical velocity ($V_{iy}$) of an object that is launched horizontally?
What is the initial vertical velocity ($V_{iy}$) of an object that is launched horizontally?
How does the horizontal acceleration ($a_x$) of a horizontally launched object behave assuming no air resistance?
How does the horizontal acceleration ($a_x$) of a horizontally launched object behave assuming no air resistance?
Flashcards
Horizontal Projectile Motion
Horizontal Projectile Motion
A projectile launched horizontally has two independent motions: horizontal (constant velocity) and vertical (free fall).
Constant Horizontal Velocity
Constant Horizontal Velocity
The horizontal velocity of a projectile launched horizontally remains constant, neglecting air resistance.
Vertical Acceleration
Vertical Acceleration
The vertical velocity of a projectile launched horizontally changes due to the constant acceleration of gravity.
Initial Vertical Velocity
Initial Vertical Velocity
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Independence of Motions
Independence of Motions
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Time of Flight
Time of Flight
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Acceleration due to Gravity
Acceleration due to Gravity
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Range of Projectile
Range of Projectile
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Study Notes
Horizontally Launched Projectile
- Objects launched horizontally have two independent motions: horizontal and vertical.
- The horizontal motion is constant velocity.
- The vertical motion is accelerated downwards at a rate of -9.81 m/s².
- The time it takes for an object to hit the ground, regardless of horizontal velocity, is determined by vertical motion only.
Think Pair Share
- Imagine a pilot dropping a package from a plane flying at constant velocity.
- The package will hit the ground directly below the release point.
- Justification is based on the independence of horizontal and vertical motion.
Observe-Infer-Wonder
- A tennis ball thrown horizontally off a cliff and a dropped tennis ball fall simultaneously.
- Both balls hit the ground at the same moment, as the time for the fall is only dependent on vertical motion.
Demo
- A demo (likely video) illustrating how objects launched at different horizontal velocities from the same height fall simultaneously.
2-Dimensional Motion
- Motion involving two perpendicular directions (horizontal and vertical).
- Horizontal and vertical motions are independent.
Objects Propelled Horizontally
- Objects launched horizontally experience both constant horizontal velocity and constant downward acceleration from gravity.
- Horizontal and vertical motions are independent of each other.
- Objects fall at the same vertical rate regardless of the horizontal velocity. Thus, their rates of fall down are independent.
Equations of Motion:
- Horizontal Velocity: Vx
- Horizontal Acceleration: ax
- Vertical Velocity: Vy
- Vertical Acceleration: ay
- Initial Horizontal Velocity : Vix
- Initial Vertical Velocity: Viy -Vix is constant , neglecting resistance. -ay is constant and equal to -9.81 m/s² or -10 m/s². -Viy = 0 m/s (initial vertical velocity).
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