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How do you solve for the time it takes an object near Earth to rise to its highest point, given initial upward velocity?

You try to kick a soccer ball in mid-air, but miss completely. Instead your shoe flies off your foot, goes through the air, and eventually hits your head. How much time does it take for the shoe to travel from your foot to the top of its path, if the shoe's initial upward velocity is 8 m/s?

Summary

  1. vi- initial velocity
  2. m- meters
  3. s- seconds
  4. t- time
  5. a- acceleration
  6. g- acceleration due to gravity
  7. vf- final velocity

Notes

    1. Remember that the upward velocity is zero at the top of an object's path
    1. y velocity and upward velocity means the same thing
    2. vf- final velocity
    1. vf- final velocity
    2. m- meters, s- seconds
    3. vi- initial velocity
    4. t- time
    5. a- acceleration
    1. Remember that gravity always points down towards the earth
    2. a- acceleration
    3. The sign of acceleration is negative because the downward direction is defined to be negative.
    1. vi- initial velocity
    2. vf- final velocity
    3. a- acceleration
    4. t- time
    1. vi- initial velocity
    2. vf- final velocity
    3. a- acceleration
    4. t- time
    1. vi- initial velocity
    2. vf- final velocity
    3. a- acceleration
    4. t- time
    1. t- time
    2. m- meters
    3. s- seconds
    1. t- time
    2. s- seconds