URGENT!!!!! All the graphs below show the velocity of an object in the x direction between t = 0 and t = T object starts at x = 0, in which case will it be back to x = 0 at time T? You can assume the object is only moving in the x direction. If the V. V. Solution By the equation of continuity v 1 A 1 = v 2 A 2 For the 1 st figure 3AV o = 3AV 1 V 1 = V o For the 2nd figure AV o = 4×(1/3)AV 2 V 2 = (3/4)V o For the 3rd figure (1/2)AV o = 3AV 3 V 3 = V o /6 For the 4th figure 3AV o = 4AV 4 V 4 = 3V o /4 Clearly V max = V 1 .

1. URGENT!!!!!
All the graphs below show the velocity of an object in the x direction between t = 0 and t = T
object starts at x = 0, in which case will it be back to x = 0 at time T? You can assume the object
is only moving in the x direction. If the V. V.
Solution
By the equation of continuity
v 1 A 1 = v 2 A 2
For the 1 st figure
3AV o = 3AV 1
V 1 = V o
For the 2nd figure
AV o = 4×(1/3)AV 2
V 2 = (3/4)V o
For the 3rd figure
(1/2)AV o = 3AV 3
V 3 = V o /6
For the 4th figure
3AV o = 4AV 4
V 4 = 3V o /4

2. Clearly V max = V 1