The height at time t of a small weight oscillating at the end of a spring is .5cos(8t).
How can I find the average velocity over the time intervals [3,4], [3,3.5], [3,3.1]?
How can i find the weights instantaneous velocity at time t = 3?
The height at time t of a small weight oscillating at the end of a spring is .5cos(8t).
How can I find the average velocity over the time intervals [3,4], [3,3.5], [3,3.1]?
How can i find the weights instantaneous velocity at time t = 3?
You're expected to know and apply the following:
The average rate of change of a function f(x) over the interval [a, b] is given by $\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}$
The instantaneous rate of change of a function at x = a is $\displaystyle f'(a)$ where $\displaystyle f'(x)$ is the derivative of the function.