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(6096) Problem 2 : Freight trains can produce only relatively small acceleration

ID: 1879209 • Letter: #

Question

(6096) Problem 2 : Freight trains can produce only relatively small accelerations and decelerations. 25% Part (a) What is the an initial velocity of 3.8 ms? nal velocity, in meters per second of a eight train that accelerates at a rate of 0.0SS ms for ZS mm, starting with Grade Summary Deductions096 potential 100 cotanO asin0acos0 atan acotan0sinh0 Submissions Attempts remaining - attempt) etailed view Degrees O Radians SubenitHint Himb: 3to deduction per hint. Hints remaining2 w 25% Part (b) If the train can slow down at a rate of0.625 ms, how long, m seconds, does t take to come to a stop f om this velocity? - 2596 Part (d) How far, in meters, does the train travel during the process described in part (b)? Feedback: sb deduction per feedback 25% Part (c) How far, in meters, does the train travel dunng the process described in part (a)?

Explanation / Answer

a)

From

V=Vo+at

V=3.8+(0.055)(7.5*60)

V=28.55 m/s

b)

if train is decelerating ,acceleration is negative a=-0.625 m/s2 ,when train comes to stop final velocity is zero i.e V=0

=>0=28.55-0.625t

t=45.68 s

c)

From

X=Xo+Vot+(1/2)at2

X=0+(3.8)(7.5*60) +(1/2)*0.055*(7.5*60)2

X=7278.75 m

d)

=>X=0+(28.55)(45.68)+(1/2)(-0.625)(45.68)2

X=652.08 m