(II) A 75-m-long train begins uniform acceleration from...

Name: Problem 33, Chapter 2: Physics: Principles with Applications
Uploaded: 2019-05-12T20:13:02-08:00
Duration: 2 min 54 s
Channel: Averell Hause
Description: (II) A 75-m-long train begins uniform acceleration from rest. The front of the train has a speed of 18 m/s when it passes a railway worker who is standing 180 m from where the front of the train started. What will be the speed of the last car as it passes the worker? (See Fig. 2-38.)

(II) A 75-m-long train begins uniform acceleration from rest. The front of the train has a speed of 18 m/s when it passes a railway worker who is standing 180 m from where the front of the train started. What will be the speed of the last car as it passes the worker? (See Fig. 2-38.)

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Key Concepts

Kinematic Equations

These are mathematical relationships that connect displacement, initial velocity, final velocity, acceleration, and time. They provide a systematic way to solve problems involving uniformly accelerated motion by allowing one to compute any one variable when others are known.

Rigid Body Motion in Accelerated Systems

This concept addresses the fact that while all points on a rigid body undergoing uniform acceleration share the same acceleration, differences in their initial positions result in different displacements and, consequently, different velocities at a given moment. It is crucial for understanding how different parts of an extended object can exhibit varying speeds when observed at a single instant.

Uniform Acceleration

This concept refers to motion in which an object experiences a constant rate of change of velocity over time. In these scenarios, the acceleration remains fixed, which simplifies the analysis of the motion using standard kinematic equations.

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