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

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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

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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)...

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