MOTION

• What is Uniformly Accelerated Motion (UAM)?

  Motion where velocity changes at a constant rate
• How does acceleration behave in Uniformly Accelerated Motion?

  Acceleration remains uniform (constant) over time
• What is uniformly accelerated motion (UAM)?

  Motion where an object's velocity changes at a constant rate
• Why is the acceleration in UAM described as remaining uniform (constant) over time?

  Because the rate of change of velocity remains the same
• What is described by the kinematic equations in UAM?

  The motion of objects with uniform acceleration
• What is velocity in the context of horizontal UAM?

  The speed of an object in a given direction
• What is acceleration in the context of horizontal UAM?

  The rate of change of velocity (m/s²)
• What is displacement in the context of horizontal UAM?

  The total change in position
• What is time in the context of horizontal UAM?

  The duration of motion
• What are the equations of motion for horizontal UAM?

  The kinematic equations
• What is free fall in the context of vertical motion?

  Motion under the influence of gravity alone
• What is the value of the acceleration due to gravity (g)?

  9.8 m/s²
• What is the direction of the acceleration due to gravity (g)?

  Downward
• What is projectile motion?

  Motion with both horizontal and vertical components
• How does the horizontal velocity of a projectile change over time?

  It remains constant (neglecting air resistance)
• How does the vertical motion of a projectile follow free-fall principles?

  The vertical motion follows the same kinematic equations as free fall
• What is the trajectory of a projectile motion?

  Parabolic
• What is initial velocity (u) in the context of motion?

  The starting speed before acceleration affects motion
• What is final velocity (v) in the context of motion?

  The speed after acceleration has acted over time
• What is displacement (s) in the context of motion?

  The change in position from start to end
• What is time of flight in the context of projectile motion?

  The duration an object stays in motion before stopping or hitting the ground
• What is peak height in the context of projectile motion?

  The highest point a projectile reaches, where vertical velocity is zero
• What are some applications of uniformly accelerated motion?

  Falling objects, vehicles accelerating along a road, and projectiles
• What is the formula to calculate the distance covered in horizontal UAM?

  $d =$$v_i t +$$\frac{1}{2} a t^2$
• What is the formula to calculate the final velocity in vertical free fall?

  $v_f =$$v_i +$$a t$
• What is the formula to calculate the height in vertical free fall?

  $h =$$v_i t +$$\frac{1}{2} a t^2$
• What is the formula to calculate the time of flight for a projectile launched horizontally?

  The time of flight depends only on the height from which the object is launched
• What is the formula to calculate the horizontal distance covered by a projectile launched horizontally?

  $x =$$v_x t$
• How do the horizontal and vertical motions of a projectile launched horizontally differ?

  The horizontal motion has constant velocity, while the vertical motion follows free-fall principles
• What is the formula to calculate the final velocity of a projectile launched horizontally before it hits the ground?

  $v_f =$$\sqrt{v_x^2 + v_y^2}$
• What is the formula to calculate the height of the table in the projectile motion problem?

  $h =$$\frac{v_x^2}{2g}$
• What are the key differences between horizontal UAM and vertical UAM (free fall)?

  Horizontal UAM:

  • Motion along a straight path
  • Constant acceleration
  • Kinematic equations apply

  
  

  Vertical UAM (Free Fall):

  • Motion under the influence of gravity alone
  • Constant acceleration due to gravity (g = 9.8 m/s²)
  • Increasing velocity downward
  • Same kinematic equations apply with a = g
• What are the key differences between free fall and projectile motion?

  Free Fall:

  • Motion under the influence of gravity alone
  • Vertical motion only

  
  

  Projectile Motion:

  • Motion with both horizontal and vertical components
  • Horizontal velocity remains constant
  • Vertical motion follows free-fall principles
  • Parabolic trajectory
• What are the key concepts in uniformly accelerated motion?

  • Acceleration due to Gravity (g)
  • Initial Velocity (u)
  • Final Velocity (v)
  • Displacement (s)
  • Time of Flight
  • Peak Height
• What are the key differences between the motion of a projectile launched horizontally and one launched at an angle?

  Projectile launched horizontally:

  • Horizontal velocity remains constant
  • Vertical motion follows free-fall principles
  • Parabolic trajectory

  
  

  Projectile launched at an angle:

  • Both horizontal and vertical velocities change over time
  • Requires analysis of both horizontal and vertical motions
  • Parabolic trajectory with different shape
• How do the kinematic equations for horizontal UAM differ from those for vertical UAM (free fall)?

  The equations are the same, but the acceleration term (a) is replaced with the acceleration due to gravity (g = -9.8 m/s²) for vertical UAM
• How does the trajectory of a projectile launched horizontally differ from one launched at an angle?

  The trajectory of a projectile launched horizontally is a parabola, while one launched at an angle has a different parabolic shape
• How does the motion of a projectile launched horizontally differ from one launched at an angle in terms of the horizontal and vertical components?

  For a projectile launched horizontally, the horizontal velocity remains constant while the vertical motion follows free-fall principles. For one launched at an angle, both the horizontal and vertical velocities change over time.
• What is the final velocity of the ball dropped from the building in the sample problem?

  $-25.48 \text{ m/s}$
• What is the height of the building from which the ball was dropped in the sample problem?

  $33.09 \text{ m}$