SUMMARY
In the 100m race between Maggie and Judy, both finish in 10.2 seconds, but their acceleration phases differ. Maggie accelerates for 2.00 seconds, while Judy accelerates for 3.00 seconds. The kinematic equation Xf = Xi + V(init)t + 1/2a*t^2 is essential for calculating their accelerations, which must be treated independently due to their differing acceleration times. The final velocities at the end of their acceleration phases must equal the sustained velocities throughout the remainder of the race.
PREREQUISITES
- Understanding of kinematic equations, specifically Xf = Xi + V(init)t + 1/2a*t^2
- Knowledge of uniform acceleration concepts
- Ability to differentiate between independent motion scenarios
- Familiarity with basic physics principles related to speed and distance
NEXT STEPS
- Calculate the acceleration of Maggie using her acceleration time and final distance
- Calculate the acceleration of Judy using her acceleration time and final distance
- Explore the implications of independent motion in kinematic problems
- Review additional kinematic equations for varying acceleration scenarios
USEFUL FOR
Students studying physics, particularly those focusing on kinematics, as well as educators looking for examples of acceleration problems in competitive scenarios.