The height in feed of an object free falling t seconds after release is where is height (in feet) at which the object is releasedm and is the initial velocity (in feet per second), suppose a quarter is dropped from an observation deck 1,368 feet in height. determine the position and velocity functions of the quarter.

i know that the velocity function is the derivative of the position function, but i; m not sure how to go about figuring it out.

Abottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. the water bottling company’s specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. a random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.995 gallon a. construct a 99% confidence interval estimate for the popula-tion mean amount of water included in a 1-gallon bottle. b. on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? why? c. must you assume that the population amount of water per bottle is normally distributed here? explain. d. construct a 95% confidence interval estimate. how does this change your answer to (b)?