9. Figure (3-E4) shows the graph of the x-coordinate of aparticle going along the X-axis as a function of time.Find (a) the average velocity during 0 to 10 s.(b) instantaneous velocity at 2, 5, 8 and 12s.
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Explanation:
(a) Displacement during 0 to 10 s = x = 100 m, Average velocity during 0 to 10 s = 100 m/ 10 s = 10 m/s
(b) Instantaneous velocity at n second, vn is given by the slope of the graph at that instant
v2 = slope of st line at 2s = 50/2.5 = 20 m/s
v5 = slope of st line at 5 s = zero
v8 = slope of st line at 8 s = (100-50)/(10-7.5) =50/2.5 =20 m/s
v12 = slope of st line at 12 s = -100/5 =-20 m/s (because slope is negative)
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