At the instant shown in (Figure 1), car A has a speed of 23 km/h, which is being increased at the rate of 300 km/h? as the car enters the expressway. At the same instant, car B is decelerating at 250 km/h² while traveling forward at 100 km/h.

2/203 Car A is traveling at the constant speed of 60 km/h as it rounds the circular curve of 300-m radius and at the instant represented is at the position 6 = 45°. Car B is traveling at the constant speed of 80 km/h and passes the center of the circle at this same instant. Car A is located with respect to car B by polar coordinates r and 0 with the pole moving with B. For this instant determine vAB and the val- ues of i and ở as measured by an observer in car B. Ans. VAB = 36.0 m/s i = -15.71 m/s, 6 = 0.1079 rad/s

Car A is traveling at the constant speed of 48 km/h as it rounds the circular curve of radius r - 310 m and at the instant represented is at the position 8 - 43°. Car B is traveling at the constant speed of 58 km/h and passes the center of the circle at this same instant. Car A is located with respect to car B by polar coordinates r and with the pole moving with B. For this instant determine VA/B and the values of it and as measured by an observer in car B. Answers: VA/B- ŕ- 0- i 27.4 i -14.4 0.075 0 m/s m/s rad/s

At the instant shown in (Figure 1) , the car at A is traveling at 10 m/sm/s around the curve while increasing its speed at 5.1 m/s2m/s2. The car at B is traveling at 28.5 m/sm/s along the straightaway and increasing its speed at 2 m/s^2.   First Question: Determine the direction angle of the relative velocity with respect to B at this instant, measured counterclockwise from the positive x axis. Second Question: Determine the magnitude of the relative acceleration of A with respect to B at this instant. Third Question: Determine the direction angle of the relative acceleration with respect to B at this instant, measured counterclockwise from the positive x axis.

At the instant illustrated, car B has a speed of 40 km/h and car A has a speed of 55 km/h. Determine the values of i and 0 for this instant where r and O are measured relative to a longitudinal axis fixed to the road of car B as indicated in the figure.

Car A is traveling at the constant speed of 45 km/h as it rounds the circular curve of radius r = 380 m and at the instant represented is at the position 0 = 40°. Car B is traveling at the constant speed of 54 km/h and passes the center of the circle at this same instant. Car A is located with respect to car B by polar coordinates r and with the pole moving with B. For this instant determine VA/B and the values of r and as measured by an observer in car B. Answers: VA/B = r = 0 = i i 8 m/s m/s rad/s B

Figure shows two trains that are moving on the same direction from a same initialposition of O. The speed of the trains at the point O is given by v A =27 m/s and v B = 8m/s. If the train B is decelerating at a B = -2.3 m/s 2 to stop at the next station whiletrain A continues the traveling with a constant speed, calculate the distance betweenboth trains at the instant the train B stops at the station. Use s A and s B to describe thedistance of the trains from the initial position of O.

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On a curvy road, a motorist applies breaks and the speed of the vehicle is reduced uniformly from 60 km/h at point A to 40 km/h at point B; points A and B are 120 m apart. If the vehicle has a resultant acceleration of 2.5 m/s2 at point A, calculate the radius of the curvature of the road at this point. Calculate also the acceleration of the vehicle at point B where the road has a radius of curvature equal to 90 m. (complete steps)