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instantaneous velocity of the object

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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 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.

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
------------- = ...

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