Calculating Time and Acceleration in Constantly Accelerating Cars

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SUMMARY

The discussion focuses on calculating time and acceleration for a car moving at constant acceleration, specifically between speeds of 40 km/h and 80 km/h over a distance of 250 meters. The correct approach involves using the average velocity, which is determined to be 60 km/h (16.67 m/s), leading to a travel time of 15 seconds. The acceleration is calculated using the change in velocity over time, resulting in an acceleration of approximately 0.74 m/s². Participants emphasized the importance of using the correct kinematic equations and understanding the distinction between average velocity and instantaneous velocity.

PREREQUISITES
  • Understanding of 1-D kinematics
  • Familiarity with the equations of motion under constant acceleration
  • Basic knowledge of unit conversions (e.g., km/h to m/s)
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the equations of motion for constant acceleration, specifically vf² = vi² + 2aΔx
  • Learn how to convert units between kilometers per hour and meters per second
  • Explore the concept of average velocity and its application in kinematic problems
  • Review the principles of calculus-based physics as they apply to motion
USEFUL FOR

Students in high school or introductory college physics courses, particularly those studying kinematics and seeking to improve their problem-solving skills in physics. This discussion is also beneficial for educators looking for examples of common student misconceptions in physics calculations.

  • #31
Thank you everyone (billy_joule, LittleMrsMonkey, and Tallus Bryne) for helping me solve the problem. I really appreciate your time to work with me!
 

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