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How do you solve for the time that an object near Earth falls, given a start at rest, final position, and initial position?

You go bowling at a new alley called Galileo's Bowling. Instead of rolling the bowling ball down a lane, you have to go up some stairs and drop the bowling ball onto a set of pins below. If you release the ball 20 meters above the pins, then how long will it take for the ball to hit the pins below?

Summary

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

Notes

    1. vi- initial velocity
    2. m- meters, s- seconds
    3. a- acceleration
    4. t- time
    5. d- displacement
    6. yi- initial position
    7. yf- final position
    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. d- displacement
    3. a- acceleration
    4. t- time
    1. vi- initial velocity
    2. d- displacement
    3. a- acceleration
    4. t- time
    1. vi- initial velocity
    2. d- displacement
    3. a- acceleration
    4. t- time
    1. t- time
    2. d- displacement
    3. a- acceleration
    1. t- time
    2. m- meters
    3. s- seconds
    1. t- time
    2. s- seconds