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The figure below shows two cars at an intersection. The car traveling north enters the intersection with an unknown speed
and an acceleration of magnitude 1.70 m/s² directed south. The intersection has a width 27.5 m, the car has a length of
4.53 m, and it takes the front end of the car 3.00 s to move across the intersection.
+
(a) Determine the distance (in m) of the front end of the blue car (traveling north) from the south edge of the
intersection when it stops.
m
e
(b) For what time interval (in s) is any part of the blue car within the boundaries of the intersection?
(c) The car traveling east is initially at rest and as the nose of the blue car enters the intersection, the red car accelerates
east at 5.20 m/s². Determine the minimum distance (in m) from the west edge of the intersection at which the nose
of the red car can begin its motion if it is to enter the intersection after the blue car has entirely left the intersection.
m
(d) If the red car begins its motion at the position given by the answer to part (c), with what speed does it enter the
intersection (in m/s)?
m/s
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Transcribed Image Text:The figure below shows two cars at an intersection. The car traveling north enters the intersection with an unknown speed and an acceleration of magnitude 1.70 m/s² directed south. The intersection has a width 27.5 m, the car has a length of 4.53 m, and it takes the front end of the car 3.00 s to move across the intersection. + (a) Determine the distance (in m) of the front end of the blue car (traveling north) from the south edge of the intersection when it stops. m e (b) For what time interval (in s) is any part of the blue car within the boundaries of the intersection? (c) The car traveling east is initially at rest and as the nose of the blue car enters the intersection, the red car accelerates east at 5.20 m/s². Determine the minimum distance (in m) from the west edge of the intersection at which the nose of the red car can begin its motion if it is to enter the intersection after the blue car has entirely left the intersection. m (d) If the red car begins its motion at the position given by the answer to part (c), with what speed does it enter the intersection (in m/s)? m/s
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