The A-train (point A) is 1.6 km from a crossing on Cottage Grove Rd. traveling at (VA)0 km/h when it applies its brakes and slows down with a constant deceleration. Its decreased velocity is observed to be 96 km/h when it is 0.8 km from the crossing. A UHart student's car (point B) moving at (VB)0 km/h is 2 km from the crossing at the same instant that the train begins to brake. In an unwise effort to beat the train to the crossing, the driver 'steps on the gas' and accelerates. The angle between the road and train is 0. The car miraculously beats the train to the crossing by 2 s. Train 1.6 km (VA). Car a) Find the relative velocity and relative acceleration of the train with respect to the car when the train passes through the intersection. b) Provide the magnitude and angle with respect to horizontal, indicating quadrant. Last Name 8= 60° (VA)O= 130 km/h 122 km/h (VB)0 = 80 km/h (Vg)o 2 km

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The A-train (point A) is 1.6 km from a crossing on Cottage Grove Rd.
traveling at (VA)0 km/h when it applies its brakes and slows down with a constant
deceleration. Its decreased velocity is observed to be 96 km/h when it is 0.8 km
from the crossing. A UHart student's car (point B) moving at (VB)0 km/h is 2 km
from the crossing at the same instant that the train begins to brake. In an unwise
effort to beat the train to the crossing, the driver 'steps on the gas' and
accelerates. The angle between the road and train is 0. The car miraculously beats
the train to the crossing by 2 s.
Train
1.6 km
*****
(VA)
Car
a) Find the relative velocity and relative acceleration of the train with respect to the
car when the train passes through the intersection.
b) Provide the magnitude and angle with respect to horizontal, indicating quadrant.
Last Name
G-N
0 =
60°
65°
(VA)0=
130 km/h
122 km/h
(VB)0 =
80 km/h
65 km/h
o(a)
2 km
Transcribed Image Text:The A-train (point A) is 1.6 km from a crossing on Cottage Grove Rd. traveling at (VA)0 km/h when it applies its brakes and slows down with a constant deceleration. Its decreased velocity is observed to be 96 km/h when it is 0.8 km from the crossing. A UHart student's car (point B) moving at (VB)0 km/h is 2 km from the crossing at the same instant that the train begins to brake. In an unwise effort to beat the train to the crossing, the driver 'steps on the gas' and accelerates. The angle between the road and train is 0. The car miraculously beats the train to the crossing by 2 s. Train 1.6 km ***** (VA) Car a) Find the relative velocity and relative acceleration of the train with respect to the car when the train passes through the intersection. b) Provide the magnitude and angle with respect to horizontal, indicating quadrant. Last Name G-N 0 = 60° 65° (VA)0= 130 km/h 122 km/h (VB)0 = 80 km/h 65 km/h o(a) 2 km
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