A train which is traveling at 100 mi/hr applies its brakes as it reaches point A and slows down with a constant deceleration. Its decreeased velocity is boserved to be 60 mi/hr as it passes a point 1/2 mile beyoind A. A car moving at 50 mi/hr passes B at the same instant that the train reaches point A. In an unwise effort to beat the train to the crossing, the driver "steps on the gas" Calculate the constant acceleration a that the car must have in order to beat the train to crossing by 4 sec and find the velocity v of the car as it reaches the crossing. Note: 1 mi=5280 ft Train 1 mi 100 mi/hr B Car a = 8.2 ft/s2; v = 134 mi/hr O a = 6.2 ft/s2; v = 132 mi/hr a = 4.2 ft/s2 ; v = 130 mi/hr O a = 2.2 ft/s2; v = 128 mi/hr O 50 mi/hr 1.3 mi

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A train which is traveling at 100 mi/hr applies its brakes as it
reaches point A and slows down with a constant deceleration. Its
decreeased velocity is boserved to be 60 mi/hr as it passes a
point 1/2 mile beyoind A. A car moving at 50 mi/hr passes B at the
same instant that the train reaches point A. In an unwise effort to
beat the train to the crossing, the driver "steps on the gas" Calculate
the constant acceleration a that the car must have in order to beat the
train to crossing by 4 sec and find the velocity v of the car as it
reaches the crossing. Note: 1 mi=5280 ft
Train
1 mi
100 mi/hr
50 mi/hr
1.3 mi
B
Car
a = 8.2 ft/s2; v = 134 mi/hr O
a = 6.2 ft/s2 ; v = 132 mi/hr O
a = 4.2 ft/s2; v = 130 mi/hr
O
a = 2.2 ft/s2; v = 128 mi/hr O
Transcribed Image Text:A train which is traveling at 100 mi/hr applies its brakes as it reaches point A and slows down with a constant deceleration. Its decreeased velocity is boserved to be 60 mi/hr as it passes a point 1/2 mile beyoind A. A car moving at 50 mi/hr passes B at the same instant that the train reaches point A. In an unwise effort to beat the train to the crossing, the driver "steps on the gas" Calculate the constant acceleration a that the car must have in order to beat the train to crossing by 4 sec and find the velocity v of the car as it reaches the crossing. Note: 1 mi=5280 ft Train 1 mi 100 mi/hr 50 mi/hr 1.3 mi B Car a = 8.2 ft/s2; v = 134 mi/hr O a = 6.2 ft/s2 ; v = 132 mi/hr O a = 4.2 ft/s2; v = 130 mi/hr O a = 2.2 ft/s2; v = 128 mi/hr O
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