Please show work 3. A passenger train is traveling at 25.0 m/s on a straight track when the engineer spots a freight train, whosecaboose (last car) is 200 m ahead on the same track. The freight train is traveling at 15.0 m/s in the samedirection as the passenger train. Worried about a collision with the slower train, the engineer of the passengertrain immediately hits the brakes, causing a constant acceleration of 0.100 m/s² in the direction opposite thetrain's velocity. Meanwhile, the freight train continues with constant speed. In this problem, we will work outwhether the two trains will collide.on, incUPT = 25.0 m/sa = -0.100 m/s²200 mUFT = 15.0 m/sTake x = 0 to be the position of the front of the passenger train at the moment the engineer first applies thebrakes. If the train had not braked, its position as a function of time would be given byxp(t) = (25.0 m/s)t.But because it is braking, a correct equation must take its acceleration into account.CONTINUED ON NEXT PAGE(1)a) Write an equation for the passenger train's (front end) position as a function of time, xp(t), that correctlyincludes its acceleration. Also write an equation for the freight train's (back end) position as a function of time,xF(t).b) Use your equations from part (a) to determine whether the two trains will ever collide, and find the locationof the collision if there is one. (Hint: what must be true about the positions of the trains if they collide? Arethere any times at which this occurs?) c) On the axes below, sketch and label graphs of a vs. t for the two trains. Comment on how the graphsrelate to your results in part (b).X

Name: Please show work 3. A passenger train is traveling at 25.0 m/s on a st
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: Please show work 3. A passenger train is traveling at 25.0 m/s on a straight track when the engineer spots a freight train, whosecaboose (last car) is 200 m ahead on the same track. The freight train is traveling at 15.0 m/s in the samedirection as t

Answered: Image /qna-images/answer/22a750c8-1bf4-4e8a-ae46-7c60c7f8f812.jpg

Science

Physics

3. A passenger train is traveling at 25.0 m/s on a straight track when the engineer spots a freight train, whose caboose (last car) is 200 m ahead on the same track. The freight train is traveling at 15.0 m/s in the same direction as the passenger train. Worried about a collision with the slower train, the engineer of the passenger train immediately hits the brakes, causing a constant acceleration of 0.100 m/s² in the direction opposite the train's velocity. Meanwhile, the freight train continues with constant speed. In this problem, we will work out whether the two trains will collide.

3. A passenger train is traveling at 25.0 m/s on a straight track when the engineer spots a freight train, whose caboose (last car) is 200 m ahead on the same track. The freight train is traveling at 15.0 m/s in the same direction as the passenger train. Worried about a collision with the slower train, the engineer of the passenger train immediately hits the brakes, causing a constant acceleration of 0.100 m/s² in the direction opposite the train's velocity. Meanwhile, the freight train continues with constant speed. In this problem, we will work out whether the two trains will collide.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A cat is sleeping on the floor in the middle of a 3.0 m wide room when a barking dog enters with a speed of 1.50 m/s. As the dog enters, the cat immediately accelerates at 0.85 m/s2 toward an open window on the opposite side of the room. The dog is a bit startled by the cat and begins to slow down at 0.10 m/s2 as soon as it enters the room. How far is the cat in front of the dog as it leaps through the window?
3. You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. You decide to do some experiments to find out more about your strange situation. you drop a ball from a height of 2.31 m, and observe that it hits the floor 0.549 s after you drop it. In this case you suspect you are in deep space, far from any planet or star, and that your rocket is accelerating due to the push of its own engines under the floor. In this case, what must the acceleration of your rocket be? 15.3 m/s^2 7.7 m/s^2 11.5 m/s^2 27.5 m/s^2
3. Two ducks, Donald and Cassiopeia, are gliding gracefully toward each other along a pond, in a straight line. Donald is initially moving at y = 0.500 m/s, and begins accelerating at 0.100 m/s2 at t=0 s. Cassiopeia moves at a constant speed of v=0.700 m/s. If they are initially separated by 25.0 m, where will they collide? Take Donald's initial position as the origin. How long will it take for them to collide? 4. A car moves along a straight road. From the graph, which of the following could you conclude? a. The car is speeding up all the time. b. The car is slowing down all the time. c. The car speeds up at first, and then slows down. d. The car is moving at a constant velocity. position time
1. A bicyclist is finishing his repair of a flat tire when a friend rides by with a constant speed of 4.0 m/s. Three seconds later the bicyclist hops on his bike and begins to follow the friend with an initial speed of 10 m/s. Assume the bicyclist continues at a constant speed of 10 m/s until he catches the friend. a) Calculate the time it takes to catch his friend. b) How fast is he moving when he catches his friend? c) How far did he travel to catch his friend?
1.A spacecraft starts from rest, and makes a journey to a destination 258000 km from its starting point. It does so by accelerating at a constant rate of 11.65 m/s^2 up to the midpoint of the journey, and then decelerates at the same constant rate of 11.65 m/s^2 for the second half of the journey, ending at rest. How long did the entire journey take? 2 hr 37 min 1 hr 51 min 6 hr 9 min 3 hr 5 min 2. An unidentified flying object (UFO) is observed to travel a total distance of 47000 m, starting and ending at rest, over a duration of 1.18 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2. 6,882 g s 135,019 g s 67,509 g s 13,763 g s 3. A Ford passes a Toyota on the road (both vehicles are traveling in the same direction). The…
A jeepney and a train are moving together along parallel paths at 30.0 m/s, with the jeepney adjacent to the rear of the train. The jeepney driver sees the traffic light turn red, so he accelerates at -2.50 m/s2, and then let his jeepney come to rest. The jeepney is at rest for 50.0 s, and then accelerates at 2.50 m/s2 to go back to a speed of 30.0 m/s. Assuming that the speed of the train remained constant at 30.0 m/s, how far is the jeepney from the rear of the train when the jeepney reaches a speed of 30.0 m/s?
4. A car is traveling at 20.0 m/s, and the driver sees a traffic light turn red. After 0.530 s (the reaction time), the driver applies the brakes, and the car decelerates at 7.00 m/s2. What is the stopping distance of the car, as measured from the point where the driver first sees the red light?
Two ants pass each other one is moving along the negative x axis and one is moving at 45 degrees to the x axis. Ant 1 goes 0.032 and ant 2 goes 0.070 m/s. Ant going .070 m/s begins to accelerate as soon as the two pass each other. The acceleration is .001 m/s2. How far apart will the two ants be after 2 seconds?
3. A bullet 2.50 cm long is fired at 450 m/s and passes straight through a 12.0 cm thick board, exiting at 275 m/s. (a) What is the average acceleration of the bullet through the board? (b) What is the total time that the bullet is in contact with the board? (c) What minimum thickness could the board have if it was supposed to bring the bullet to a stop?
A Boeing 747 "Jumbo Jet" has a length of 64.5 m. The runway on which the plane lands intersects another runway. The width of the intersection is 24.8 m. The plane decelerates through the intersection at a rate of 5.56 m/s2 and clears it with a final speed of 43.1 m/s. How much time is needed for the plane to clear the intersection?
A horse and a squirrel participate in a race over a 2.00 km long course. The horse travels at a speed of 15.0 m/s and the squirrel can do 3.70 m/s. The horse runs for 1.600 km and then stops to tease the slow-moving squirrel, which eventually passes by. The horse waits for a while after the squirrel passes and then runs toward the finish line. Both animals cross the finish line at the exact same instant. Assume both animals, when moving, move steadily at their respective speeds. (a) How far (in m) is the squirrel from the finish line when the horse resumes the race? (b) For how long in time (in s) was the horse stationary?
hits the ball and gives it a velocity of 51 m/s to the north. the ball during the 1.0 x 10-³s when it was in contact with the bat? Ans: 9.4 x 104 m/s² north 30rb Question 6. Suppose a car is traveling at + 22.5 m/s, and the driver sees a traffic light turn red. After 0.401 s has elapsed (the reaction time), the driver applies the brakes, and the car decelerates at 4.00 m/s². What is the stopping distance of the car, as measured from the point where the driver first notices the red light? Ans: 72.3 m 81 to mort 35 bu do add asid Hed T the instant