Physics: Horizontally Launched Projectile

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Questions and Answers

If an object is thrown horizontally off a cliff, what is its initial vertical velocity?

  • 10 m/s
  • It varies based on height
  • 9.81 m/s
  • 0 m/s (correct)

When two balls are released from the same height, one dropped and one thrown horizontally, which statement is true about their motion?

  • The thrown ball hits the ground first due to its horizontal speed.
  • The dropped ball hits the ground first because it has an initial downward velocity.
  • The balls will hit the ground at different times due to air resistance.
  • Both balls hit the ground at the same time. (correct)

What is the horizontal acceleration of an object projected horizontally if we neglect air resistance?

  • 9.81 m/s²
  • -9.81 m/s²
  • It depends on the initial speed
  • 0 m/s² (correct)

What is the vertical acceleration for an object in free fall?

<p>-9.81 m/s² (C)</p> Signup and view all the answers

Which of the following is true about the horizontal and vertical motions of an object launched horizontally?

<p>They occur simultaneously and are independent. (B)</p> Signup and view all the answers

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?

<p>In front of the plane, taking into account horizontal distance. (C)</p> Signup and view all the answers

Which equation best represents the horizontal motion of an object thrown with an initial horizontal velocity?

<p>Vx = Vix + ax * t (D)</p> Signup and view all the answers

What role does air resistance play in the motion of a horizontally launched projectile under ideal conditions?

<p>It has no effect; horizontal motion is constant. (A)</p> Signup and view all the answers

Flashcards

Horizontal Projectile Motion

A projectile launched horizontally has two independent motions: horizontal and vertical. The horizontal motion is constant, while the vertical motion is influenced by gravity.

Horizontal Motion

The motion of an object moving along a straight path with constant velocity.

Vertical Motion

The motion of an object falling freely under the influence of gravity.

Initial Horizontal Velocity (Vix)

The initial horizontal speed of a projectile launched horizontally.

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Constant Horizontal Velocity (Vx)

The horizontal velocity of a projectile launched horizontally remains constant throughout its flight, assuming negligible air resistance.

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Vertical Acceleration (ay)

The acceleration due to gravity acting on a projectile launched horizontally, which is always directed downwards and has a constant value of approximately -9.8 m/s².

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Initial Vertical Velocity (Viy)

The initial vertical velocity of a projectile launched horizontally is zero, as it starts with no vertical motion.

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Vertical Velocity (Vy)

The vertical velocity of a projectile launched horizontally changes due to the acceleration due to gravity, increasing in magnitude as it falls.

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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

  • Horizontal Velocity = Vx

  • Horizontal Acceleration = ax

  • Vertical Velocity = Vy

  • Vertical Acceleration = ay

  • Initial Horizontal Velocity = Vix

  • Initial Vertical Velocity = Viy

  • Vix is determined by the launch; it is constant (neglecting air resistance)

  • ax = 0 m/s²

  • Viy = 0 m/s (initial vertical velocity)

  • Vertical motion: affected by gravity's acceleration (g = -9.8 or -10 m/s²)

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Day 3 Horizontally Launched Projectile Motion PDF

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