Question

Observe the graphs of the motion. Consider only the portion of the graph from just after the cart was released to just before it was stopped. Find the position on each graph where the cart turned around and started back down. What is the value of the velocity at that point? What is the value of the acceleration at that point? Is there any significant difference between this acceleration graph and the acceleration graphs from steps 15 and 18? Why or why not? 21.
Fle Edit Experiment Dats Analyze nsert Latest 20т. Time Position Velocity 05: -... 0449 1 0 0 1 4 2010 04480049 0.15: 0449.--0106 4 020 0448 0334 5 025 05160.010 327 Auto Fitfor Late A-0 2928 C-0 05360-t。 030 0 450 ! 7 035 0448 0050l -8.1 0.40,一0448i.. . .0 232111 10- 045 04680808D 10050 05160330 11 0550560087 Correlaton: 1.00 121 . ㅡ..0601 0.004 0.876 05- 14 0 70 0 6911 0850 075 0 732 0825 1608007730808 085 0814 0782 18090 08520733 19 095 0880679 0 0 0920. 0630||| (0 900,0780) 20 100 10 0 9800602 1.15 1010 0585 1 250670 538 26 13010920498 27 ー 1351 1.1161- 0467 28.401 1390440 1.45- 1 160-0413 5 15011180 311.551199 Linear Fit for Late 354 1 6012160 325 33 1651231 0298 m (Slope)0 553 b CY-ntercept): 12 175258025 5 Position
900,0 780) Time (s)
1.5- Auto Fit for: Latest Position 1 어-ent-le-005360, 001049 A -0 2928+/ 0 004862 В 1 262.-001436 to Correlation: 1.000 (0 900,0 780) 5- Linear Fit for Latest Velocty m (Slope) -05537 mss b (-intercept): 1212 mis Correlation:-0.9994 RMSE: 0.009874 m/ -5
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Answer #1

When the cart turned around and started back, the displacement of the cart will decrease with time as it will move towards its starting point. And from this point velocity will also get reversed.

#From the graph , we find that the at t=2.1s , the cart turned around back.

900,0 780) Time (s)

# At this point the velocity of the cart is Zero.

900,0 780) Time (s)

#slope of the velocity -time graph is m=-0.5537 m/s2.

So at that point the acceleration of the cart is a= -0.5537 m/s2.

# Since the velocity -time graph is straight fit, the slope is constant and hence acceleration will also constant. so there is no difference between the steps 15 & 18.

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