Question

The images of trees in the figure come from a catalog advertising fast-growing trees. If we mark the position of the top of the tree in the successive years, as shown in the graph in the figure, we obtain a motion diagram much like ones we have seen for other kinds of motion. The motion isn’t steady, of course. In some months the tree grows rapidly; in other months, quite slowly. We can see, though, that the average speed of growth is fairly constant for the first few years. What is the tree’s speed of growth, in feet per year, from t=1yr to t=3yr? What is the tree’s speed in m/s?At the end of year 3, a rope is tied to the very top of the tree to steady it. This rope is staked into the ground 15 feet away from the tree. What angle does the rope make with the ground?

Answer 1

VS height of free (feet rine 0 year let us make a table for time it in years) Height oft 19 21 ft 30 ft year 2 year 3 year ③ frees' speed of groueth B Height A Time 30-12 18 9 ft/year 3-1 2 Speed = 9.ft lykas 2 tree's speed un uls = ? to edue this question, we will comest feet unto metes" Milo Records 1 ft = 0.3048 m and year years unto 1 year 12 months = 365 days = (365x24) hours - (365 X24x60) minutes = (366x 24 x 60 x 60) seconds 2. g fllyear gx0.3048 365X24 x 60X60 Speed = 9x10-8 ols CSScanned with CamScanner

(3) we drawn the situation, we need to find angle o fan O= 30 15 70= tan'' (2) soft Oz 630 15 ft CScanned with CamScanner