Projectile Motion: Horizontal and Vertical Velocity

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Questions and Answers

A projectile is launched at an angle. What best describes the horizontal velocity ($v_x$) of the projectile throughout its flight, assuming negligible air resistance?

  • It decreases due to gravity.
  • It remains constant. (correct)
  • It increases constantly due to constant acceleration.
  • It initially increases, then decreases.

As a projectile moves upwards in its trajectory, what happens to the vertical component of its velocity ($v_y$)?

  • It increases then decreases.
  • It increases due to gravity.
  • It remains constant.
  • It decreases due to gravity. (correct)

Which of the following best describes the acceleration of a projectile in free fall, specifically focusing on the vertical direction?

  • Decreasing as the object falls.
  • Constant and equal to zero.
  • Constant and approximately $9.8 m/s^2$ downwards. (correct)
  • Increasing as the object falls.

If a projectile is launched upwards, what force primarily influences its motion?

<p>Gravitational Force (D)</p> Signup and view all the answers

What principle explains why no horizontal forces are needed to maintain a projectile's horizontal motion, assuming negligible air resistance?

<p>Newton's First Law of Motion (Inertia) (B)</p> Signup and view all the answers

What happens to the magnitude of the vertical component of a projectile's velocity as it descends, neglecting air resistance?

<p>It increases at a constant rate. (C)</p> Signup and view all the answers

A projectile is launched at an angle. At the highest point of its trajectory, what is the vertical component of its velocity ($v_y$)?

<p>Zero. (D)</p> Signup and view all the answers

Considering an angle-launched projectile, which statement accurately describes the forces acting on it during its flight if air resistance is negligible?

<p>Gravity acts vertically; no force acts horizontally. (D)</p> Signup and view all the answers

How does the vertical acceleration of a projectile going upwards compare to its vertical acceleration when going downwards, assuming negligible air resistance?

<p>The accelerations are the same in both magnitude and direction. (B)</p> Signup and view all the answers

A projectile is launched at an angle of 30° above the horizontal on a level surface. Neglecting air resistance, which of the following is true regarding the projectile's speed just before it hits the ground, compared to its initial speed?

<p>The final speed will be equal to the initial speed. (C)</p> Signup and view all the answers

Flashcards

Horizontal Velocity (Vx)

The velocity in the x-direction; remains constant throughout the projectile's flight if air resistance is negligible.

Vertical Velocity (Vy)

The velocity in the y-direction; changes due to gravity, decreasing on the way up and increasing on the way down.

Maximum Height (Ymax)

The maximum height a projectile reaches, where its vertical velocity (Vy) is momentarily zero.

Range (x)

The horizontal distance a projectile covers during its entire flight.

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Projectile going up

A projectile's vertical velocity decreases as it goes up due to gravity.

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Projectile going down

A projectile's vertical velocity increases as it goes down due to gravity.

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Acceleration of Projectile

Gravity causes a constant downward acceleration of 9.8 m/s².

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Acceleration

The rate at which the projectile's vertical velocity changes.

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Study Notes

  • A horizontal force does not keep a projectile moving at a constant velocity in the x-axis
  • As a projectile goes down, the object experiences constant acceleration, increasing its velocity
  • The y-axis of projectile motion follows the principle of free fall

Learning Targets

  • Describe the velocity of a projectile in its horizontal and vertical components

Angle-Launched Projectile

Vx or Horizontal Velocity

  • The lengths of the arrow are equal
  • The velocity is constant
  • Acceleration is zero
  • No horizontal forces are needed to maintain horizontal motion which follows the concept of inertia

Vy or Vertical Velocity

  • Projectile going up:
    • The lengths of the arrow become shorter
    • The velocity decreases
    • Acceleration is 9.8 m/s² (velocity decreases by 9.8 m/s every second)
    • The force involved is gravitational force
  • Projectile going down:
    • The lengths of the arrow become longer
    • The velocity increases
    • Acceleration is 9.8 m/s² (velocity increases by 9.8 m/s every second)
    • The force involved is gravitational force

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