leson 3 pt. 1

Acceleration and Velocity

  • Positive Acceleration with Negative Velocity

    • This implies that an object is slowing down while moving in a negative direction (towards the south).

    • Example: When an object has positive acceleration but is moving in a negative direction, it indicates the object is decelerating.

Problem Solving Steps (Example 19)

  • Calculating Average Acceleration

    • Given:

      • Average speed: 6.5 kilometers per second

      • Time (T): 60 seconds

    • Task: Convert speed to meters per second and calculate acceleration.

      • Conversion:

        • 6.5 km/s = 6500 m/s (1 km = 1000 m)

    • Average acceleration (a) is calculated using standard equations of motion.

      • Important to maintain significant figures: use three significant figures for measured numbers, while definitions (like 1 km = 1000 m) do not count.

Understanding 'g' (Acceleration due to Gravity)

  • What is 'g'?

    • 'g' refers to the acceleration due to gravity, approximately 9.8 meters per second squared.

    • Objects fall under gravity’s acceleration, with speed increasing by 9.8 m/s every second.

    • Example: After 1 second, an object would fall at 9.8 m/s; after 2 seconds, it would be at 19.6 m/s.

    • For quizzes, may assume g = 10 m/s² to simplify calculations.

Multiple of 'g' Calculation

  • Finding the number of g's

    • To find acceleration in multiples of 'g':

      • Formula: Number of g's = Acceleration / g

    • Example Calculation:

      • If acceleration is 108 m/s², then:

        • Number of g's = 108 / 9.8 = approximately 11 g's.

        • Displays acceleration experienced in scenarios like amusement park rides or astronaut training.

Test Preparation Tips

  • Quiz Overview

    • Expected quiz content includes concepts covered in class discussion.

    • Study from notes and review discussion boards to prepare effectively.

    • Quiz format:

      • 10 questions to be completed in 15 minutes.

    • Notes allowed during quiz, but time may restrict extensive searching for answers.

Homework Assignment

  • Mandatory Exclusion Date

    • Homework due date set for Tuesday.

    • Ensure timely submission to avoid exclusion from class activities.

    • Instructor will conduct grading over the weekend after submissions are collected.