Using the position-time graph illustrated below: Position (m) 5 3 2 3 45 6 7 t (sec) a) Find the slope at points a, b, c, and d. b) Describe your results briefly. 9 d 10
Gen Physics Question: Please see attached image
(a) Slope of point a = tan(A) , where A is angle made by line OA from X axis.
O = origin of the graph (0,0)
The point A passes through point (1.4 , 1)
Hence slope = TanA =( 1/1.4) = 0.714
Slope of point b = 0 ( because line is parallel to X axis ) angle made from x axis = 0°. Tan(0) = 0
Slope of point c is infinite because the line is parallel to the Position axis. Angle made from x axis = 90°. Hence slope = tan(90) = undefined.
Slope of point d will be negative because angle made by the line containing point d is in clockwise from x axis. Take any two point with their coordinate point on line and find the slope.
The slope between two point (X1, y1) and (X2, y2) is given by :-
Slope = (y2-y1)/(x2-x1)
Two points on line containing d are ( 7.2,1.8) and
( 9, 1.1)
Hence slope of point d = ( 1.1-1.8)/(9-7.2) = -0.39approx.
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