The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 5 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] cm/s
(ii) [1, 1.1] cm/s
(iii) [1, 1.01] cm/s
(iv) [1, 1.001] cm/s
(b) Estimate the instantaneous velocity of the particle when t = 1.

(i) [1,2]

(ii) [1,1,1]

(iii)

(iv)

(b)

Step-by-step explanation:

First. Let's find the displacement for every given time:

t=1s

t=2s

t=1.1s

t=1.01s

t=1.001s

Now, the average velocity can be found as:

Where:

Hence:

(i) [1,2]

(ii) [1,1,1]

(iii)

(iv)

(b) In order to estimate the instantaneous velocity of the particle for t=1, we need to find its derivative:

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

step-by-step explanation:

this is not possible to solve with the info given.   you need at least an one angle somewhere.