Please answer the following four questions.

(i) Inthis experiment you measure the terminal velocity ofball bearings falling in castor oil.Using theappropriate formula in the “Introduction” section of theexperimental procedure,calculate the terminal velocity of a 6.00 mmdiameter ball bearing if the coefficient ofviscosity ofcastor oil is 1.00 Pa?s. From what height above the surface of theoil would you need to drop the ball bearing so that it entered thecastor oil at this terminal velocity?

(ii) The terminal velocity is measured bytiming the ball bearing between two heightsin thecastor oil, and dividing the distance between themby the elapsed time. If you drop the ballbearing fromabout 3 cm above the surface of the castor oil, and the startingpoint for timingis fairly near the castor oil surface, will yourcalculated speed be greater or less than theactualterminal velocity for thatball bearing? Explain.

(iii) Find the mean, and the standard error in themean, of the following numbers:{1.02, 1.00, 1.21, 0.99, 1.05,0.98, 0.98, 1.14, 0.92, 0.90}(iv) If these numbersrepresent repeated measurements of the same quantity, give therangeof values that is 95% likely to contain the actual value ofthe quantity being measured.

(iv) If these numbers represent repeated measurements ofthe same quantity, give the rangeof values that is 95% likelyto contain the actual value of the quantity being measured.