Physics Projectile Motion Quiz

Projectile Launched at an Angle

• Projectile motion involves objects launched at an angle, analyzing their horizontal and vertical components of velocity.
• Formulas for analyzing the horizontal and vertical component of velocity are determined using trigonometry (SOH CAH TOA)
  • Horizontal component (v_ix) = v cos θ
  • Vertical component (v_iy) = v sin θ
  • v = the initial velocity.
  • θ= the angle the projectile is launched above the horizontal.

Projectile Launched Horizontally

• A projectile is launched horizontally from a height of 65 meters with an initial horizontal speed of 35 m/s.
• The horizontal component of the projectile's speed is constant (35 m/s) throughout its flight.
• Its vertical position progressively drops under acceleration due to gravity (approximately -9.8 m/s²).
• To find the horizontal speed of the projectile after it has fallen a certain vertical distance (25m), use the vertical displacement equation: the vertical displacement can be determined using the equations: y=y0+v0yt+1/2a*t^2

Projectiles Fired at an Angle II

• Projectiles launched at an angle follow a parabolic path. The horizontal motion is constant, while the vertical motion is affected by gravity.
• The path of the projectile follows a parabolic curve.

Key Concepts About Projectiles

• Horizontal Motion:

  • Constant horizontal velocity.
  • Horizontal acceleration is zero (a_x = 0 m/s²)
  • Horizontal displacement (d_x) = v_x * t

• Vertical Motion:

  • Vertical motion is affected by gravity: acceleration (a_y )= −9.8 m/s² or approximately − 10 m/s²
  • Vertical displacement (d_y) = v_0y * t + ½ a_y * t² (v_0y initial vertical component)
  • At the highest point of the projectile's trajectory, the vertical component of velocity is zero. (v_y = 0 m/s).

• Important Formulas:

  • d_x = v_x * t (horizontal displacement).
  • d_y = v_0y * t + ½ a_y * t² (vertical displacement).

Test your understanding of projectile motion involving objects launched at an angle and horizontally. This quiz covers the calculation of horizontal and vertical components of velocity, along with the impact of gravity on their motion. Dive into the equations and concepts that describe the dynamics of projectiles in motion.