I am not very good at calculus to begin with, especially word problems and velocity problems. I have no idea how to start this one out, so if someone could show me how, that would be great to give me a start. Here goes:
The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 5sin(πt) + 2cos(πt), where t is measured in seconds. (Round all answers to the nearest hundredth.)
there are multiple sub-questions, but I'll just give two:
(a) Find the average velocity during the time period [1, 2] (in cm/s).
(e) Estimate the instantaneous velocity of the particle when t = 1 (in cm/s).
I haven't the slightest clue other than I'm (guessing) it has something to do with Galileo's law, s(t) = 4.9t^2,but I have no clue where/when I should apply it or in addition to another formula.
Any help would be awesome! Thanks. :)