The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 2 sin πt + 2 cos πt, where t is measured in seconds. (Round your answers to two decimal places.)
(a) Find the average velocity during each time period.
(i) [1, 2]

Question

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 2 sin πt + 2 cos πt, where t is measured in seconds. (Round your answers to two decimal places.) 
(a) Find the average velocity during each time period. 
(i)    [1, 2]

dumbcow · Answer

avg velocity:
$$\frac{1}{b-a} \int\limits_a ^{b} s'(t) dt$$

dumbcow · Answer

$$= \frac{1}{b-a} [s(b) -s(a)]$$

dumbcow · Answer

essentially its the slope formula, so for interval [1,2]
$$\frac{s(2) -s(1)}{2-1}$$