   Chapter 2, Problem 44P

Chapter
Section
Textbook Problem

A train 4.00 × 102 m long is moving on a straight track with a speed of 82.4 km/h. The engineer applies the brakes at a crossing, and later the last car passes the crossing with a speed of 16.4 km/h. Assuming constant acceleration, determine how long the train blocked the crossing. Disregard the width of the crossing.

To determine
The time the train blocked the crossing.

Explanation

Given Info: The initial velocity of the train is 82.4km/h , the final velocity of the train is 16.4km/h , and the length of the train is 4.00×102m .

Explanation:

The formula used to calculate the time required for the train to cross the train is,

t=2Δx(v+v0)

Here,

Δx is the displacement of the train while travelling across the crossing

v is the final velocity of the train

v0 is the initial velocity of the train

t is the time

Substitute 82.4km/h for v0 , 16.4km/h for v , and 4.00×102m for Δx to find t .

t=2(4.00×102m)(((16

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