A Ferrari F50 of length 4.52 m is moving north on a roadway thatintersects anoth

Question

A Ferrari F50 of length 4.52 m is moving north on a roadway thatintersects another perpendicular roadway. The width of theintersection from near edge to far edge is 30.0 m. The Ferrari has a constant acceleration ofmagnitude 1.60 m/s2 directedsouth. The time interval required for the nose of the Ferrari tomove from the near (south) edge of the intersection to the northedge of the intersection is 3.00 s. (a) How far is the nose of the Ferrari from thesouth edge of the intersection when it stops?
1

(b) For what time interval is any part of the Ferrariwithin the boundaries of the intersection?
2

(c) A Corvette is at rest on the perpendicular intersectingroadway. As the nose of the Ferrari enters the intersection, theCorvette starts from rest and accelerates east at 5.70 m/s2. What is the minimum distancefrom the near (west) edge of the intersection at which the nose ofthe Corvette can begin its motion if the Corvette is to enter theintersection after the Ferrari has entirely left theintersection?

(d) If the Corvette begins its motion at the position given by youranswer to part (c), with what speed does it enter theintersection?
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(a) How far is the nose of the Ferrari from thesouth edge of the intersection when it stops?
1

(b) For what time interval is any part of the Ferrariwithin the boundaries of the intersection?
2

(c) A Corvette is at rest on the perpendicular intersectingroadway. As the nose of the Ferrari enters the intersection, theCorvette starts from rest and accelerates east at 5.70 m/s2. What is the minimum distancefrom the near (west) edge of the intersection at which the nose ofthe Corvette can begin its motion if the Corvette is to enter theintersection after the Ferrari has entirely left theintersection?

(d) If the Corvette begins its motion at the position given by youranswer to part (c), with what speed does it enter theintersection?
4

Explanation / Answer

(a)the nose of the Ferrari from the south edge of theintersection when it stops S = ut + (1/2)at2 u = 0,t = 3.00 s and a = 1.60 m/s2 or S = 0 * 3.00 + (1/2) * 1.60 * (3.00)2 = 7.2m (b)Let the time interval be t1 therefore,weget S1 = ut1 +(1/2)at12 S1 = 30.0 m,u = 0 and a = 1.60m/s2 or t1 = (2S1/a)1/2 = (2 *30.0/1.60)1/2 = 6.1 s (c)Let the minimum distance from the near (west) edge of theintersection be S2 therefore we get S2 = ut + (1/2)at2 u = 0,t = 6.1 s and a = 5.70 m/s2 or S2 = 0 * 6.1 + (1/2) * 5.70 * (6.1)2= 106 m (d)Let the speed with which the Corvette enter theintersection be v therefore we get v = (2aS2)1/2 or v = (2 * 5.70 * 106)1/2 = 34.7 m/s or v = (2 * 5.70 * 106)1/2 = 34.7 m/s

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