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 time that the train takes travel between two consecutive stations that are 60 miles apart.
(d) The trip from one station to the next takes minimum 37.5 minutes. How far apart are the stations?
A high-speed bullet train accelerates and decelerates at the rate of 10 ft/s2.
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.
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 subway train starts from rest at a station and accelerates at a rate of 1.60 m/s2 for 10.0 s. It runs at a constant speed for 50.0 s and slows down at a rate of 3.20 m/s2 until it stops at the next station. How far apart are the two subway stations? A 40 m B 80 m C 800 m D 920 m E None of the above.
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...
Problem 5: The greatest possible acceleration or deceleration that a train may have is a and its maximum speed is v. Find the minimum time in which the train can get from one station to the next if the total distance between the stations is s. Assume the train starts from the first station at rest and stops when it reaches the next station.
A train starts from rest at a station and accelerates at a rate of 1.5 m/sec2 for 16 seconds. It runs at a constant speed for 80 seconds and slow down at a rate of 2.5 m/sec2 until it stops at next station. Find the total distance covered by train.
A subway train starts from rest at a station and accelerates at a rate of 1.95 m/s2 for 15.0 s. It runs at constant speed for 74.0 s and slows down at a rate of 3.20 m/s2 until it stops at the next station. Find the total distance covered. 2.51 km 2.52 km 2.53 km 2.56 km
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 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:...
An electric vehicle starts from rest and accelerates at a rate of 2 m/s2 in a straight line until it reaches a speed of 20 m/s. The vehicle then slows at a constant rate of 1 m/s2 until it stops. (a) How much time elapses from start to stop? (b) How far does the vehicle travel from start to stop?