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?
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?
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?
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?
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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?
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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?
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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?
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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?
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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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Description
Explore the principles of horizontally launched projectiles through key concepts like independent motions of horizontal and vertical trajectories. Understand how the time of descent for objects is solely determined by vertical motion, irrespective of the horizontal velocity. This quiz will deepen your understanding of projectile motion in physics.
