Velocity,acceleration and distance

• What is the equation for objects in uniform acceleration?

  (final velocity)$^2$ - (initial velocity)$^2$ = 2 × acceleration × distance
• How is final velocity (v) measured?

  In metres per second (m/s)
• How is initial velocity (u) measured?

  In metres per second (m/s)
• How is acceleration (α) measured?

  In metres per second squared (m/s²)
• How is displacement (x) measured?


  In metres (m)
• How can the final velocity of an object be calculated using the equation?

  • Rearrange the equation:
  • (final velocity)$^2$ = (initial velocity)$^2$ + 2 × acceleration × distance
  • Substitute known values to find v.
• If a biscuit is dropped from a height of 300 m, what is its final velocity when it reaches the ground? (Use acceleration due to gravity = 10 m/s²)

  77.5 m/s
• What is the process to calculate acceleration using the equation?

  • Rearrange the equation:
  • α = (final velocity)$^2$ - (initial velocity)$^2$ / (2 × displacement)
  • Substitute known values to find α.
• How do you convert 1.44 km to meters?

  1. 44 km = 1,440 m
• If a train accelerates uniformly from rest to 24 m/s over a distance of 1.44 km, what is its acceleration?

  0.2 m/s²
• How can initial velocity (u) and displacement (x) be calculated using the equation?

  • Rearrange the equation:
  • u = √((final velocity)$^2$ - 2 × acceleration × displacement)
  • x = (final velocity)$^2$ - (initial velocity)$^2$ / (2 × acceleration)
• What is the relationship between final velocity, initial velocity, acceleration, and displacement in the equation?

  Final velocity is determined by the initial velocity, acceleration, and displacement through the equation v$^2$ - u$^2$ = 2αx.
• What is the formula to calculate acceleration (α) from final and initial velocities and displacement?

  α = (final velocity)$^2$ - (initial velocity)$^2$ / (2 × displacement)
• What is the formula to calculate displacement (x) using final and initial velocities and acceleration?

  x = (final velocity)$^2$ - (initial velocity)$^2$ / (2 × acceleration)