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Math Help - Instantaneous Velocity

  1. #1
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    Instantaneous Velocity

    If a rock is thrown upward on the moon with a velocity of 58 m/s, its height in meters after t seconds is given by

    H = 58t - 0.83t^2.

    Find the instantaneous velocity after 1 second (round to tenths).




    How do I approach this problem, guys?
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  2. #2
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    The "instantaneous velocity" is the derivative of the height function.
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  3. #3
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    Ahhhh. So I take the derivative and get 58-1.66t, correct? And then substitute 1, giving me 56.34, or 56.3 since we're rounding. Does that look right?
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    Looks good.
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