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    Please help with the following problem. Please provide step by step calculations.

    Consider a moving object whose displacement at time t is given by s(t)=â?'5t^(2)+3t.

    We will take steps to find the instantaneous velocity of the object at time t=9.

    (a) For any time t [cannot]= 9 the average velocity of the object on the time interval between 9 and t can be simplified into the form At+B, where A and B are constants. Find these constants.

    Answer: A=_________, and B=__________

    (b) By considering the average velocity on the shrinking time interval between 9 and t as t approaches 9, determine the instantaneous velocity of the object at time 9.

    Answer: The instantaneous velocity of the object at time 9 is _______

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    Solution Preview

    The average velocity over the period of time from 9 and t is

    s(t) - s(9) (-5t^2 + 3t) - (-5*9^2 + 3*9) -5t^2 + 3t + 378
    ------------- = ...

    Solution Summary

    This posting includes classical mechanics problems. The instantaneous velocity of the object is clearly evaluated in this case. Step by step calculations are provided.

    $2.49

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