Blog Post 2

(A-C)

John is an avid hunter. He uses various bows and arrows in order to figure out which one works the best to painlessly hunt white tail deer in the mountains of Pennsylvania. He compares all his bows by their velocity at exactly three seconds, his grandfather’s favorite number .John needs to know what the velocity at three seconds is of the arrow for his new bow.

X: TIME (sec)	0	1	2	3	4	5	6	7	8	9	10
Y: DISTANCE (yards)	0	10	19	27	34	40	45	49	52	54	55

(E)

I notice that the slope of the secant lines get smaller and smaller the further we get from our original point. In terms of our experiment, this means the further the arrow gets from the bow, the slower the arrow travels.

(G)

The instantaneous rate of change for X=3 is 8 yards per second. In terms of our experiment, this means that at exactly 3 seconds the arrow is traveling at approximately 8 yards per second traveled.

(H)

Since the calculations of part E were continuously getting smaller, the slope of the secant lines going to the right from x=3 are getting closer to the slope of the tangent line. This is evident by the decrease in value of our randomly selected points (Secant lines) comparative to QP.