SOLUTION: A car drives down a road in such a way that its velocity ( in m/s) at time t (seconds) is v(t)=2(t)^1/2+4 Find the car's average velocity (in m/s) between t=4 and t=7.

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Question 466628: A car drives down a road in such a way that its velocity ( in m/s) at time t (seconds) is
v(t)=2(t)^1/2+4

Find the car's average velocity (in m/s) between t=4 and t=7.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
We have to find the average value of the velocity, so we integrate v(t) from t = 4 to t = 7, then divide by 3 seconds. This is similar to finding the total distance traveled, then dividing by 3 s to find the average velocity.

Integrating,



Evaluate it at t = 7, subtract the value at t = 4:

(meters)

Divide by 3 seconds to obtain

(meters per second)