The height (in centimeters) at time t (in seconds) of a small mass oscillating at the end of a spring is h(t) 8 cos(12t) (a) Calculate the mass 's average velocity over the time intervals 0, 0 1 and 3, 3 5 (b) Estimate its instantaneous velocity at t 3 ...

a The average velocity over the time interval ...

The height (in centimeters) at time t (in seconds) of a small mass oscillating at the end

Question:

The height (in centimeters) at time t (in seconds) of a small mass oscillating at the end of a spring is h(t) = 8 cos(12πt).
(a) Calculate the mass's average velocity over the time intervals [0, 0.1] and [3, 3.5].
(b) Estimate its instantaneous velocity at t = 3.