Velocity-Time graphs

• What type of graphs were discussed in the last video?

  Distance time graphs
• What do velocity time graphs show?

  How an object's velocity changes over time
• Why is it easy to confuse distance time graphs with velocity time graphs?

  Because they look pretty similar
• What is plotted on the y-axis of a velocity time graph?

  Velocity
• What is plotted on the x-axis of a velocity time graph?

  Time
• How do you find the gradient of the curve on a velocity time graph?

  By calculating the change in velocity over the change in time
• What does the gradient of a velocity time graph represent?

  The acceleration of the object
• What does a constant positive gradient on a velocity time graph indicate?

  Constant acceleration
• What does a constant negative gradient on a velocity time graph indicate?

  Constant deceleration
• How would you calculate acceleration from a velocity time graph?

  By dividing the change in velocity by the change in time
• If the change in velocity is 3 m/s and the change in time is 2 s, what is the acceleration?

  1.5 m/s²
• What does a flat section of the curve on a velocity time graph indicate?

  No acceleration, meaning constant velocity
• How do you find the velocity during flat sections of the curve on a velocity time graph?

  By looking at the y-axis
• What is the velocity during the second stage of the graph if it is flat at 3 m/s?

  3 m/s
• What is the velocity during the fourth stage of the graph if it is flat at 5 m/s?

  5 m/s
• What does a steeper curve in a velocity time graph indicate?

  The rate of acceleration is increasing
• How do you find the distance traveled from a velocity time graph?

  By calculating the area under the curve
• How can you simplify the calculation of the area under the curve?

  By splitting the area into shapes like triangles and rectangles
• What is the formula for the area of a triangle?

  Area = 0.5 × base × height
• If the base of a triangle is 2 seconds and the height is 3 m/s, what is the area?

  3 meters
• How do you calculate the area of a rectangle on a velocity time graph?

  By multiplying base by height
• If the base of a rectangle is 2 seconds and the height is 3 m/s, what is the area?

  6 meters
• What is the total distance traveled during the first four seconds if the areas of the triangle and rectangle are 3 meters and 6 meters respectively?

  9 meters
• Why is the area under the curve expressed in meters instead of meters squared?

  Because we are finding the distance traveled
• How can you estimate the area under curved parts of the graph?

  By counting the number of squares under that section of the graph
• If each square in the grid represents one meter of distance, how do you estimate the area under a curved section?

  By counting full and partial squares
• If there are six full squares and two half squares under a curved section, what is the estimated distance traveled?

  8 meters
• What should you do if you enjoyed the video?

  Tell your friends and teachers about it
• What is the total distance traveled over the two seconds in the curved section if it is estimated to be around eight meters?

  Approximately eight meters
• What is the final takeaway from the video?

  Everything discussed in the video