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How do you find the time and convert units given acceleration, initial velocity, and final velocity in a motion problem?

You have a scooter that has a maximum acceleration of 5 m/s2. With that acceleration, how long will it take to speed up from 10 miles per hour to 60 miles per hour?

Summary

  1. mph- miles per hour
  2. a- acceleration
  3. m- meters
  4. s- seconds
  5. t- time

Notes

    1. It's a good idea to write down the variables that you know in your problem
    1. vi- initial velocity
    2. mph- miles per hour
    3. vf- final velocity
    4. a- acceleration
    5. m- meters, s- seconds
    6. t- time
    1. Think about the variables in your problem and then figure out what equation contains those variables
    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. Apply some algebra to isolate for time in the equation
    1. vi- initial velocity
    2. vf- final velocity
    3. a- acceleration
    4. t- time
    1. mph- miles per hour
    2. m/s- meters per second
    1. mph- miles per hour
    2. m/s- meters per second
    1. Last step, plug in the variables into the equation for time
    1. t- time
    2. m- meters
    3. s-seconds
    1. t- time
    2. m- meters
    3. s-seconds