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How do you solve for displacement of a falling object near Earth, given a start at rest, and time?

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 and let it fall for 4 seconds before it hits the ground, then what was the height from which you released it?

Summary

  1. vi- initial velocity
  2. t- time
  3. s- seconds
  4. d- displacement vector
  5. a- acceleration
  6. g- acceleration from gravity

Notes

    1. The height is just the length of the displacement vector
    1. In gravity problems it's really important to define a positive and negative direction
    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. m- meters, s- seconds
    3. t- time
    4. d- displacement
    5. a- acceleration
    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. d- displacement
    2. m- meters
    3. s- seconds
    1. d- displacement
    2. m- meters
    1. m- meters