help needed in the equations developments, could you solve only at 3 seconds? Th

Question

help needed in the equations developments, could you solve only at 3 seconds?

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At the instant shown car A is traveling with a speed of 108 km/hr and is decreasing its speed at a rate of 1 m/s. At the same instant car B is traveling on the interchange curve at a speed of 72 km/hr and increasing its speed at a rate of 2.0 m/s For each vehicle at half second intervals: Car A Calculate and plot the positions of each car until Car B merges onto the straightaway. Plot as a f(x) for 0 sxs 300 m Calculate and plot the distance the two cars are apart. (As f(t) for 0sts12s.) Calculate and plot the relative velocity and relative acceleration of Car B relative to Car A. VB/A = VB-VA , B/A-@g-uA Car B 260 m . 30.0 (magnitudes only) Plot as f(8) for 30°

Explanation / Answer

For stage (1) motion, and Thus, For stage (2) motion, and Thus, For stage (3) motion, and Thus, = 28 350 m = 28.4 km Ans. s3 = 27 900 + 30(30) + 1 2 (-1)(302 ) s = s0 + v0t + 1 2 act + 2 : t = 30 s 0 = 30 + (-1)t v = v0 + ac A t + : B ac = -1 m>s 2 v . 0 = 30 m>s, v = 0, s0 = 27 900 m s2 = 900 + 30(900) + 0 = 27 900 m s = s0 + v0t + 1 2 act 2 A + : B a t = 15(60) = 900 s. v0 = 30 m>s, s0 = 900 m, c = 0 v1 = 0 + 0.5(60) = 30 m>s v = v0 + ac A t + : B s1 = 0 + 0 + 1 2 (0.5)(602 ) = 900 m s = s0 + v0t + 1 2 act 2 A + : B ac = 0.5 m>s 2 s t = 60 s, . v 0 = 0, 0 =

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