Distance from a Changing Velocity

Understanding the concept of distance from a changing velocity is essential in the realm of physics, particularly in kinematics. When an object undergoes motion with varying velocity, determining its distance traveled becomes a dynamic challenge. Unlike uniform motion, where distance can be easily calculated using the formula distance = speed × time, the presence of changing velocity introduces complexities that require a deeper analysis. In this introductory exploration, we will delve into the fundamental principles governing distance measurement in the context of changing velocity, examining the key variables, equations, and conceptual frameworks necessary for a comprehensive understanding of this intriguing phenomenon.

Questions
  • If an object has a displacement function #s(t)=t-ln(2t+1)# where #t# is in seconds and #t>=0#, can you find the distance travelled in the first 2 seconds?
  • What is a changing velocity?
  • How do I find a change of velocity?
  • What is the change in velocity of a brick that falls for 3.5 seconds?
  • What is the change of velocity over time referred to as?
  • Can a change in velocity be negative?
  • What is the formula for distance from a changing velocity?
  • What is the formula for time from a changing velocity?
  • How are distance and changing velocity related to limits?