The maximum speed on the railway line between Station P and Station Q is 120 km/h. The distance between the two stations is 8.45 km. The maximum acceleration and deacceleration of the train engine and brakes are 0.72 and -0.55 m/s2, respectively. Train A departs from Station P from rest and travels towards Station Q, at the same time Train B (Express) passes through Station Q traveling toward Station P with a speed of 120 km/h. 1. What are the time and distance travelled for Train A to reach the maximum speed? II. Then Train A maintains its maximum speed. How far from Station Q and how much time is required for Train A to decelerate, by applying the brakes, to bring the train to a halt at Station Q? (4 III. Draw a speed versus time diagram for Train A. (C IV. Draw an acceleration versus time diagram for Train A. 3) V. Based on (1) and (II) above, when and where do Trains A and B pass each other (call this position R)?

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The maximum speed on the railway line
between Station P and Station Q is 120 km/h.
The distance between the two stations is 8.45
km. The maximum acceleration and
deacceleration of the train engine and brakes
are 0.72 and -0.55 m/s2, respectively. Train A
departs from Station P from rest and travels
towards Station Q, at the same time Train B
(Express) passes through Station Q traveling
toward Station P with a speed of 120 km/h.
1. What are the time and distance travelled for
Train A to reach the maximum speed?
II. Then Train A maintains its maximum speed.
How far from Station Q and how much time is
required for Train A to decelerate, by applying
the brakes, to bring the train to a halt at
Station Q? (4
III. Draw a speed versus time diagram for Train
A.
IV. Draw an acceleration versus time diagram
for Train A. ( ) V. Based on (1) and (II)
above, when and where do Trains A and B
pass each other (call this position R)?
Transcribed Image Text:The maximum speed on the railway line between Station P and Station Q is 120 km/h. The distance between the two stations is 8.45 km. The maximum acceleration and deacceleration of the train engine and brakes are 0.72 and -0.55 m/s2, respectively. Train A departs from Station P from rest and travels towards Station Q, at the same time Train B (Express) passes through Station Q traveling toward Station P with a speed of 120 km/h. 1. What are the time and distance travelled for Train A to reach the maximum speed? II. Then Train A maintains its maximum speed. How far from Station Q and how much time is required for Train A to decelerate, by applying the brakes, to bring the train to a halt at Station Q? (4 III. Draw a speed versus time diagram for Train A. IV. Draw an acceleration versus time diagram for Train A. ( ) V. Based on (1) and (II) above, when and where do Trains A and B pass each other (call this position R)?
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