The engineer of a passenger train traveling at 25.0 m/s sees a freight train whose caboose 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. The engineer of the passenger train immediately applies the brakes, causing a constant acceleration of 0.100 m/s2in a direction opposite to the train’s velocity, while the freight train continues with constant speed. Take x = 0 at the location of the front of the passenger train when the engineer applies the brakes. (a) Will the cows nearby witness a collision? (b) If so, where will it take place?

The engineer of a passenger train traveling at 25.0 m/s sees a freight train whose caboose 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. The engineer of the passenger train immediately applies the brakes, causing a constant acceleration of 0.100 m/s2in a direction opposite to the train’s velocity, while the freight train continues with constant speed. Take x = 0 at the location of the front of the passenger train when the engineer applies the brakes. (a) Will the cows nearby witness a collision? (b) If so, where will it take place?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.3: Relative Velocity

Problem 27PP

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The engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose 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. The engineer of the passenger train immediately applies the brakes, causing a constant acceleration of 0.100 m/s2 in a direction opposite to the train’s velocity, while the freight train continues with constant speed. Take x =0 at the location of the front of the passenger train when the engineer applies the brakes. a) Will the cows nearby witness a collision? b) If so, where will it take place?
The engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose 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. The engineer of the passenger train immediately applies the brakes, causing a constant acceleration of 0.100 m/s2 in a direction opposite to the train’s velocity, while the freight train continues with constant speed. Take x = 0 at the location of the front of the passenger train when the engineer applies the brakes. (a) If t = 0 is the instant when the engineer applies the brakes, at what later time will there be a collision? (b) Where will the collision take place? (c) On a single graph, sketch the position of the front of the passenger train and the back of the freight train.
The driver of a van “times the light” and passes through an intersection at constant speed 15.0 m/s just as the light turns green. At the same time a car in the adjacent lane accelerates from rest at 3.0 m/s2. (a) What distance must the car travel in order to catch up to the van (and then pass)? (b) What is the speed of the car as it passes the van?
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(a) A soccer player kicks a rock horizontally off a 32 m high cliff into a pool of water. If the player hears the sound of the splash 2.72 s later, what was the initial speed given to the rock (in m/s)? Assume the speed of sound in air is 343 m/s. 24.27 x The time given in the problem can be divided into two intervals: the time for the rock to hit the water and the time for the sound to return to the kicker. m/s (b) What If? If the temperature near the cliff suddenly falls to 0°C, reducing the speed of sound to 331 m/s, what would the initial speed of the rock have to be (in m/s) for the soccer player to hear the sound of the splash 2.72 s after kicking the rock? 23.44 Enter a number. Need Help? Read It m/s Watch It
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