At time t in seconds a particles distance s(t) in micrometers from a point is given by s(t)=e^t+2-sin(t) what is the average velocity of the particle from t=1 to t=5

Explanation:

Given:

distance as a function of time is:

Average velocity of the particle from time t=1s to t=5s can be given by the total distance covered divided by the total time consumed.

Position at t=1s:

Position at t=5s:

Therefore the distance covered during this time is:

Now the average speed for the duration:

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