The average value of a function f(x) over the interval [a, b] is given by,
f avg =1 / (b−a) ∫f(x)dx
Let the function be,
f(x)=x²+3x+2 , [ 2,4]
On solving this question using the given limits we will get a quadratic equation, on solving the equation we will get two values.
Now the value which lies in the given interval is our required value of average velocity function over the given time interval.
The change in position or displacement (x) divided by the time intervals (t) during which the displacement happens is the definition of average velocity.
Based on the direction of the displacement, the average velocity might either be positive or negative. Meters per second (m/s or ms-1) is the SI measure for average velocity.
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