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Find the instantanous velocity

  1. Apr 8, 2009 #1
    1. The problem statement, all variables and given/known data

    Find the instantaneous velocity at t=1 by computing v(1)= [h(1+[tex]\Delta[/tex]t)-h(1)]/[tex]\Delta[/tex]t

    I found that v(1)= -8ft/sec. Also I know h(1)=24 but i dont understand how to manipulate the h(1+[tex]\Delta[/tex]t) to get the solution.


    2. Relevant equations

    h(t)=16+24t-16t2


    3. The attempt at a solution

    The solution the teacher gave is v(1)=-8-16t[tex]\Delta[/tex]
     
  2. jcsd
  3. Apr 8, 2009 #2
    What's h(1+dt)? Substitute (1+dt) into the h(t) equation.. and put everything in the v(1)= [h(1+dt)-h(1)]/dt equation. If you expand the equation and do some algebra you will eventually get the answer
     
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