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Questions and Answers
If an object is thrown horizontally off a cliff, what is its initial vertical velocity?
If an object is thrown horizontally off a cliff, what is its initial vertical velocity?
When two balls are released from the same height, one dropped and one thrown horizontally, which statement is true about their motion?
When two balls are released from the same height, one dropped and one thrown horizontally, which statement is true about their motion?
What is the horizontal acceleration of an object projected horizontally if we neglect air resistance?
What is the horizontal acceleration of an object projected horizontally if we neglect air resistance?
What is the vertical acceleration for an object in free fall?
What is the vertical acceleration for an object in free fall?
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Which of the following is true about the horizontal and vertical motions of an object launched horizontally?
Which of the following is true about the horizontal and vertical motions of an object launched horizontally?
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If a package is dropped from a plane flying with a constant velocity, where should it be released for it to land directly below the plane?
If a package is dropped from a plane flying with a constant velocity, where should it be released for it to land directly below the plane?
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Which equation best represents the horizontal motion of an object thrown with an initial horizontal velocity?
Which equation best represents the horizontal motion of an object thrown with an initial horizontal velocity?
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What role does air resistance play in the motion of a horizontally launched projectile under ideal conditions?
What role does air resistance play in the motion of a horizontally launched projectile under ideal conditions?
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Study Notes
Horizontally Launched Projectile
- A horizontally launched projectile experiences two independent motions: horizontal and vertical.
- The horizontal motion has a constant velocity, neglecting air resistance.
- The vertical motion experiences constant downward acceleration due to gravity (-9.81 m/s²).
- Both components affect the object's trajectory.
Think Pair Share
- Dropping a package from an airplane: Release the package when at the same horizontal position as the drop zone.
- The horizontal velocity of the plane and the package is the same. This ensures the package lands below the plane.
Observe-Infer-Wonder
- Throwing a tennis ball horizontally alongside dropping another tennis ball simultaneously: Both balls hit the ground at the same time.
- The vertical motion, influenced by gravity and time, dictates the fall. The horizontal motion has no impact on the time taken to reach the ground.
Demo
- This is a confirmation of the principle of independent vertical motion.
Answer
- Objects thrown horizontally from the same height hit the ground at the same time,regardless of horizontal velocity.
Big Takeaway
- Horizontal and vertical motions are independent.
- Time to reach the ground is the same for both objects.
2-Dimensional Motion
- The combination of horizontal and vertical motion describes two-dimensional motion.
Objects Propelled Horizontally
- Objects fall vertically at a constant rate of -9.81 m/s².
- Objects have both horizontal and vertical velocities and accelerations.
- The horizontal and vertical motions are independent of each other.
Formulas
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Horizontal Velocity = Vx
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Horizontal Acceleration = ax
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Vertical Velocity = Vy
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Vertical Acceleration = ay
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Initial Horizontal Velocity = Vix
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Initial Vertical Velocity = Viy
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Vix is determined by the launch; it is constant (neglecting air resistance)
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ax = 0 m/s²
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Viy = 0 m/s (initial vertical velocity)
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Vertical motion: affected by gravity's acceleration (g = -9.8 or -10 m/s²)
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Description
Explore the principles of horizontally launched projectiles, focusing on the independent motions of horizontal velocity and vertical acceleration due to gravity. This quiz discusses real-world applications, including package drops from airplanes and simultaneous drops of tennis balls, illustrating key concepts in projectile motion.