In a classroom demonstration, an instructor tosses her keys Westward and slightl

Question

In a classroom demonstration, an instructor tosses her keys Westward and slightly Upward. A set of motion sensors, attached to a computer, is used to record the position of the keys with respect to a mark on the floor at the instructor's feet. Six positions are recorded, in meters; there are 0.2 of a second between each data point. You are given the computer output in the table below; the direction of each horizontal position is West, and the direction of each vertical position is Up (i.e. above the floor).

HINT: This question will ask you to make many repetitive calculations. To make your work easier, enter the table into a spreadsheet and use the formula function of the spreadsheet to perform the calculations.

Key Toss Tracking   Time     Horizontal Position   Vertical Position (s) (m) (m) 0.0 0.6 2.2 0.2 1.5 2.744 0.4 2.4 2.896 0.6 3.3 2.656 0.8 4.2 2.024 1.0 5.1 1

Explanation / Answer

in this part of the problem we get the solution that is the instantanious velcocity by by

v = { ( Vwest)^2   + ( V up)^2 }^1/2

angle = tan-1(Dup/Dwest)

in k )   V west at 0.1 = 4.5    (which is average of 0.0 and 0.2 , as given in the comprehension )

similarily   V up = 2.72

Vinst = 5.26

angle = tan-1 (   {2.2 +2.744}/2    /   {0.6+1.5}/2)

           = 31.15

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