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Math Help - velocity problem!! be descriptive please

  1. #1
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    velocity problem!! be descriptive please

    if a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height in meters t seconds later is given by y=10t-1.86t2.

    a.) find the average velocity for the given time intervals...

    i.) (1,2)
    ii.) (1,1.5)
    iii.) (1, 1.1)
    iv.) (1, 1.101)
    v.) (1,1.001)

    b.) find the instantaneous velocity when t=1.


    please help and show steps to get your answer please!!!
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  2. #2
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    Re: velocity problem!! be descriptive please

    a)
    i) At t= 1, what is the height? At t= 2, what is the height? What is the change in height during that 1 second? The average velocity is "change in height divided by change in time.
    ii) At t= 1, what is the height? At t= 1.5, what is the height?
    iii) At t= 1, what is the height? At t= 1.1, what is the height?
    iv) At t= 1, what is the height? At t= 1.01 (I am sure it is NOT supposed to be "1.101") what is the height?
    v) At t= 1, what is the height? At t= 1.001 what is the height?

    vi) either make a "guess" at the limit, as the second t goes to 1 or take the derivative of the height function.
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