# instantaneous velocity of the object

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)=Ã¢?'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.