A vehicle traveling between 2 stations that are 2 km apart starts from rest and accelerates over 2/4 of the total distance. After reaching the maximum speed, the driver steps on the brakes and the vehicle decelerates at a constant rate and comes to rest after 2 km and a total travel duration of 4 min. Analyze the motion of the vehicle on a appropriate speed - time graph and then, calculate:

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A vehicle traveling between 2 stations that are 2 km apart starts from rest and accelerates over 2/4 of the total distance. After reaching
the maximum speed, the driver steps on the brakes and the vehicle decelerates at a constant rate and comes to rest after 2 km and a
total travel duration of 4 min. Analyze the motion of the vehicle on a appropriate speed - time graph and then, calculate:
• The maximum speed observed during the journey:
m/s
• The duration of acceleration tgee:
• The duration of deceleration tee:
• The acceleration :
m/s²
• and magnitude of the deceleration
m/s?
.2
You may need an speed-time graph for more accuracy on the following
th
Change of speed during the 40
second of motion: Av
m/s
• Distance covered during the 160
tん
second of motion:
• The total distance covered after 160 s of motion:
Transcribed Image Text:A vehicle traveling between 2 stations that are 2 km apart starts from rest and accelerates over 2/4 of the total distance. After reaching the maximum speed, the driver steps on the brakes and the vehicle decelerates at a constant rate and comes to rest after 2 km and a total travel duration of 4 min. Analyze the motion of the vehicle on a appropriate speed - time graph and then, calculate: • The maximum speed observed during the journey: m/s • The duration of acceleration tgee: • The duration of deceleration tee: • The acceleration : m/s² • and magnitude of the deceleration m/s? .2 You may need an speed-time graph for more accuracy on the following th Change of speed during the 40 second of motion: Av m/s • Distance covered during the 160 tん second of motion: • The total distance covered after 160 s of motion:
The speed of a mass, illustrated in the figure, increases from v; = 1.25 m/s to vf = 2.5 m/s as it drops through a height 30.05 m.
The number of teeth on gears are respective 40 for gear A and 120 for gear B. If r1 =150 mm, analyze the downward motion of the
hanging mass and then calculate:
Gear A
Gear B
Mass
• The linear acceleration of the mass :
m/s-2
• Time required for the observed speed variation:
Assuming that subscripts and f respectively indicate initial and final values, calculate
The initial and final speed of gear B speed: w
rad/s and
rad/s
For gear A:
Transcribed Image Text:The speed of a mass, illustrated in the figure, increases from v; = 1.25 m/s to vf = 2.5 m/s as it drops through a height 30.05 m. The number of teeth on gears are respective 40 for gear A and 120 for gear B. If r1 =150 mm, analyze the downward motion of the hanging mass and then calculate: Gear A Gear B Mass • The linear acceleration of the mass : m/s-2 • Time required for the observed speed variation: Assuming that subscripts and f respectively indicate initial and final values, calculate The initial and final speed of gear B speed: w rad/s and rad/s For gear A:
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