Question

Two trains of pass through the same intersection at different times. Knowing that Train B accelerates from rest at 100 m/min2 and reaches the crossing 10 min after Train A passed through. Determine the relative velocity of Train B with respect to Train A and the distance between the fronts of each train 2 min after Train B passes through the intersection. Express your answer in vector notation. 72 km/h 30° B

Answer 1

Solutim = -12. î (kony/or) A Z 17x6 36 Given data: Acceleration & train B cap) 100 m/min ㅋ ар loo mm 60 sec m/2 3600 -B 1 36 m/s2 > Initial Initial velocity of train B (4)=0 b 36 So VB Upt apt +0++

@to t600 sec V8 600 (Biti) (m/ @ t= 12 min =120 sec) 1 -20.1 m) 720 (vəî+) - 1o (və î+j VB 72 - loval troj ^ 19 lova loj (my VBA VB-T (1013*+104) – (-20) (102 itio Casa A 37.321 i to A Answay BA 31.321it loj (m/s Relative · Velocity 7 B writ A @ + t= T20 sec. Lets and distances travelled piom point "O when train B passed / travelled you 2 min stor point o. train A gol SA (20) (720) W(120) SA 14400 m got train B SB 1-09-(7202-600%) = 0) (120 food Crossing II

SB 2200 m Vectorially =-14400 î.Com AO SBO 2200 (Cos 301 tsinsei ST 2200 A Bit 2 lloo (va î < fo Hoo 13 it + 1100j Now SBA 110013 SBO - SAO î +1100) - 6-14400 ) (1001/3 +14400) it loog 163056256 î + 1100 jam S. BA Displacement of B Wort A