C

2.2 Velocity-Time Graphs

  • Speedometer

  • Instantaneous Speed: The speed of an object at a specific moment in time, which can be determined from the slope of the tangent line to the curve at that point on a velocity-time graph.

  • Instantaneous Velocity: The vector quantity that specifies the speed of an object in a particular direction at a specific moment, also defined by the slope of the tangent line on a velocity-time graph.

  • Velocity-Time Graph: Visual representation of an object’s motion that shows how an object’s velocity varies over time

  • The slope tells us the rate of acceleration, indicating how quickly the velocity of the object is changing at that given moment.

  • Curves: acceleration is not fixed and is changing over time

  • Differential Calculus

  • The area under the curve represents the displacement of the object during that time interval, allowing us to quantify the distance traveled.