SP1. A railroad engine moves forward along a straight section of track for a distance of 70 m due west at a constant speed of 5 m/s . It then reverses its direction and travels 32 m due east at a constant speed of 4 m/s . The time required for this deceleration and reversal is very short due to the small speeds involved. a. What is the time required for the entire process? b. Sketch a graph of average speed versus time for this process . Show the deceleration and acceleration upon reversal as occurring over a very short time interval . c. Using negative values of velocity to represent reversed motion, sketch a graph of velocity versus time for the engine ( see fig. 2.15 ). d. Sketch a graph of acceleration versus time for the engine (see fig . 2.16).

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oeerivona oeerivona · Answer 1 · 2021-09-18T12:55:38+02:00

The relationships between average speed (s), velocity (v), and acceleration can be shown shown graphically by plotting their values with time

a. The time required for the entire process is 22 seconds

The required graphs to question b, c, and d are attached

The reasons the above value for time and the attached graph are correct are given as follows:

The given parameters are;

The distance due west travelled by the train = 70 m

The speed in the western direction = 5 m/s

The distance due east the train then travelled = 32 m

The speed of the train while travelling east = 4 m/s

a. The time required for the entire process, t, is given as follows;

[tex]Time = \dfrac{Distance}{Velocity}[/tex]

Therefore, the total time, t = (70 m/(5 m/s)) + (32 m/(4 m/s)) = 22 s

The time required for the entire process is 22 seconds

b. The table of values (obtained with MS Excel) are as follows;

Time: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

Avg. Speed: 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4.9, 4.875, 4.8, 4.78, 4.74, 4.7, 4.67, 4.64

Please find attached the required graph of average speed versus time

c. The table of values are as follows;

Time: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

Velocity: 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -4, -4, -4, -4, -4, -4, -4, -4

Please find attached the required graph of velocity versus time

d. The table of values are as follows;

Time: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

Acceleration: DNE, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0

Please find attached the required graph of acceleration versus time

Learn more about velocity and acceleration time graphs here:

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