answer the following 55 and 56 ,how high is the cliff? 2-8 Graphical Analysis a-

Question

answer the following 55 and 56 ,how high is the cliff? 2-8 Graphical Analysis a- 55. (II) Figure 2-42 shows the velocity of a train as a function of time. (a) At what time was its velocity greatest? (b) During what periods, if any, was the velocity constant? (c) During what periods, if any, was the acceleration constant? (d) When was the magnitude of the acceleration greatest? of 40 10 0 0 10 20 30 40 50 60 70 80 90 100 110 120 FIGURE 2-42 Problem 55. 56. (II) A sports car accelerates approximately as shown in the velocity-time graph of Fig. 2-43. (The short flat spots in the curve represent manual shifting of the gears) Estimate the car's average acceleration in (a) second gear and (b) fourth gear. 50 40 30 5th gear 4th gear 3rd gear e 20 2nd gear st gear t (s) 0 010 20 30 40 FIGURE 2-43 Problem 56. The velocity of a car as a function of time, starting from a dead stop. il sngts in the curve represent gear shifts

Explanation / Answer

55)

From graph We can See

a) The Velocity is Highest at t=50 s

b)The Velocity is Constsnt from t=90 s to t = 108 s

c)The Acceeleration is Constsnt from t=0 s to t = 40 s

d)Magnitude is Highest From t= 110 s to t=120 s .

56)

Average Acceleration = Change in Velocity / Time

a) v2=23 m/s v1= 12 m/s (not clearly visible in picture ) t= 5 sec

Average Acceleration = (23-12)/5 = 11/5 = 2.2 m/s^2

b)Similarly in 4 the gear

v2=45 m/s v1= 37 m/s (not clearly visible in picture ) t= 10 sec

Average Acceleration = (45-37)/5 = 8/10 = 0.8 m/s^2

Note above Answers are approx as graphs are not clear.

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