Lesson 4 - SUVAT Equation’s

• What is the focus of LO2 in mechanical engineering?

  Understand fundamental scientific principles
• What do distance-time graphs represent?

  • Motion of an object over time
  • Relationship between distance and time
• What does a constant speed indicate on a distance-time graph?

  No change in distance over time
• What does deceleration mean in motion graphs?

  Decrease in speed over time
• What does acceleration indicate for a stationary body?

  Change in speed from rest
• What does a distance-time graph show for non-uniform motion?

  Variable speed increases or decreases
• What is the formula for calculating speed from a distance-time graph?

  Gradient = Δ Distance / time
• How do you obtain a velocity-time graph from a distance-time graph?

  Calculate velocity for each section
• What is the velocity when moving backwards in section a of the graph?

  0 m/s
• What is the velocity in section b of the graph?

  -0.1 m/s
• What is the velocity in section c of the graph?

  -0.08 m/s
• What does the area under a velocity-time graph represent?

  Displacement of the object
• How do you calculate the area of a rectangle in a velocity-time graph?

  Area = base x height
• What does acceleration indicate in motion graphs?

  Increasing or decreasing speed
• What do curves in distance-time graphs indicate?

  • Changes in speed
  • Non-linear motion
• What should you do to analyze a distance-time graph with curves?

  Highlight or circle the correct descriptions
• What does a stationary object indicate on a distance-time graph?

  No change in distance
• What does a constant positive velocity indicate on a graph?

  Steady increase in distance
• What does a constant negative velocity indicate on a graph?

  Steady decrease in distance
• What does constant acceleration indicate on a graph?

  Speed is increasing over time
• What does constant deceleration indicate on a graph?

  Speed is decreasing over time
• What are the steps to find velocity from a distance-time graph?

  1. Identify sections of the graph
  2. Calculate the gradient for each section
  3. Determine velocity values
• How do you find the velocity of an object in section D of the graph?

  v = 500 - 0 / 10 = 50 m/s
• What is the formula to find acceleration?

  a = (v - u) / t
• What is the distance travelled by the hamster in the example?

  9 m
• What is the acceleration of the hamster in the example?

  0.5 m/s²
• What is the velocity of the ball just before it hits the ground?

  50 m/s
• What are the key quantities used when modeling motion?

  • Displacement
  • Initial velocity
  • Final velocity
  • Acceleration
  • Time
• What are the equations relating motion quantities?

  1. Final velocity, \( v = u + at \)
  2. Displacement, \( s = \frac{(u + v)}{2} t \)
  3. Displacement, \( s = ut + \frac{1}{2} at^2 \)
  4. Final velocity, \( v^2 = u^2 + 2as \)
• What is the significance of the area under an acceleration graph?

  • Represents change in velocity
  • Useful for understanding motion dynamics
• What is the relationship between velocity and acceleration in motion graphs?

  • Velocity changes with acceleration
  • Acceleration affects speed and direction