Question

The diagram below shows the speed time graph for a train travelling between two stations

The diagram below shows the speed time graph for a train travelling between two stations. The train starts from rest and accelerates uniformly for 150 seconds. It then travels at a constant speed for 300 seconds and finally decelerates uniformly for 200 seconds.

Fig.
Given that the distance between the two stations is 10 450m, calculate the:
(a) maximum speed, in km/h, the train attained;
(b) acceleration;
(c) distance the train traveled during the last 100 seconds
(d) time the train takes to travel the first half of the journey
0 0
Add a comment Improve this question Transcribed image text
Answer #1
since the deceleration took 200s and the acceleration took only 150s, d = -3/4 a.
v after 150s = 150a

10450 = 1/2 a*150^2 + 300(150a) + 1/2 (-3a/4)*200^2

(a) v = 38m/s
(b) a = 19/75 = .253m/s^2
(c) 950m
(d) 150+(5225-2850)/38 = 212.5s
Add a comment
Know the answer?
Add Answer to:
The diagram below shows the speed time graph for a train travelling between two stations
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A high-speed bullet train accelerates and decelerates at the rate of 10 ft/s2.

    A high-speed bullet train accelerates and decelerates at the rate of 10 ft/s2. Its maximum crusing speed is 120 mi/h.(a) What is the maximum distance the train can travel if it accelerates from rest until it reaches its cruising speed and then runs at that speed for 15 minutes? (b) Suppose that the train starts from rest and must come to a complete stop in 15 minutes. What the maximum d istance it can travel under these conditions? (c) Find the minimum...

  • a train with a maximum speed of 60mph travels between two stations 5,192 ft apart. It...

    a train with a maximum speed of 60mph travels between two stations 5,192 ft apart. It has an acceleration rate of 4 ft/s^2 and requires a distance of 1584ft to stop from 60 mph. Sketch (a) acceleration- time, (b) velocity-time, (c) displacement-time diagrams and (d) determine the minimum running time between stations in seconds. Note: Train stops at all stations. Show all working out. (d) tmin =?

  • A train on a straight track starts from rest t station A. It accelerates for 20...

    A train on a straight track starts from rest t station A. It accelerates for 20 seconds with an acceleration of 5 m/s^2 and then continues to travel at the velocity reached for two minutes. The train then decelerates at 5 m/s^2 for 20 seconds before coming to a stop at the next station B. What is the distance between the two stations?

  • A commuter train travels between two downtown stations. Because the stations are only 1.00 km apart,...

    A commuter train travels between two downtown stations. Because the stations are only 1.00 km apart, the train never reaches its maximum possible cruising speed. During rush hour the engineer minimizes the travel interval Δt between the two stations by accelerating for a time interval Δt1 at a1 = 0.100 m/s2 and then immediately braking with acceleration a2 = -0.360 m/s2 for a time interval Δt2. Find the minimum time interval of travel Δt and the time interval Δt1. Hint:...

  • 2 A train is at rest in a railway station. At time t = 0, the...

    2 A train is at rest in a railway station. At time t = 0, the train starts to move forwards with an increasing speed until it reaches its maximum speed at time t = 48 s. Fig. 1.1 is the speed-time graph for the first 48s of the journey. 40 30- speed m/s 20- 10- 0 20 40 60 80 100 120 time/s Fig. 1.1 (a) (0) State how the graph shows that, during the first 48s of the...

  • . Movement of a train. A train starts from a station A and has a constant...

    . Movement of a train. A train starts from a station A and has a constant acceleration of 0.4 for 2 minutes.for the next 75 seconds it continues with constant speed, and finally applies the brakes until it stops at station B due to a deceleration of 0. 8 m / s2. (a) Calculate the distance between stations A and B. (b) Prepare the graphs Position (x) - time (1), speed (v) - time (() and acceleration (a) - time...

  • An underground train travels between two stations with a velocity as defined below. Plot the corresponding...

    An underground train travels between two stations with a velocity as defined below. Plot the corresponding acceleration-time and position-time curves. What is the total distance travelled and how far before stopping are the brakes applied? 2. Ans: 216 m, 100 m 20 8 14 24

  • I'm not sure what I'm doing wrong for the last question. Starting from rest, a subway...

    I'm not sure what I'm doing wrong for the last question. Starting from rest, a subway train accelerates to a speed of 20.0 m/s in tA20.6 seconds. The train travels at that speed for the next 21 seconds. Finally, the train decelerates steadily to a full stop over the next 10.3 seconds What is the train's acceleration at the beginning? 9709 m/s2 What is the train's deceleration as it comes to a stop? - 1.9417 m/s2 How far does the...

  • A subway trauma accelerates from rest at one station at a rate of 1.2 m/s^2 for...

    A subway trauma accelerates from rest at one station at a rate of 1.2 m/s^2 for half of the distance to the next station, then decelerates at this same rat for the final half. If the stations are 1100 m apart, find: a. The time of travel between stations b. the maximum speed of the train.

  • what is the maximum speed attained? what fraction of the total distance is traveled at constant...

    what is the maximum speed attained? what fraction of the total distance is traveled at constant speed? what total time is required for the trip? Constants Par A spaceship ferrying workers to Moon Base I takes a straight-line path from the earth to the moon, a distance of 384000 km. Suppose it accelerates at an acceleration 19.9 m/s for the first time interval 14.7 min of the trip, then travels at constant speed until the last time interval 14.7 min,...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT