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cs Solutions, , moving on two, me direction,, nd. accelerate,, e driver of 4, , fe. m/, amie, , eed x Time), , 2d motion), , first, , wher it, as Ze50)", , 49, , Motion ina Straight Line, , i 8. Ona two lane road, car A is travelling with a speed of, Question Aon VeR PE AGG approach car Ain opposite directions with a, 36 km/h. Ni each. At a certain instant, when the distance AB is, erect a “bot being 1 km, B decides to overtake A'before C does., ee RATA acceleration of car Bis required to avoid an accident?, , Solution Speed of car Atta) = oo a 5, = 36 x—— m/s [. 1 km/h=- m/s, 18 18, =10 m/s, Speed of car Band car C i cal, Up =Uc = 54 km/h i m mM |, =54 See ons : uA, 18, Relative velocity of car B w.r.t. car A aa Up : Uc ae, Up, =Up—Ua— lo— 10 = soym.S, , Relative velocity of car C w.r.t. car A, , Uga =Uc — Uy = 15 —(-10) =25 m/s, Distance between car A and car B=1km=1000m, Time taken by car C to travel distance AC =1000m, , , , , , i Distance, Time (t) = ; ;, Relative velocity of carC w.r.t. carA, 10, = s=40s, 25, , Let car Bstart to accelerate with an acceleration a., , Using equation of motion, s=ut + zat?, Lar), or S=Upal + Bae, , 1000 = 5 x40 + x x (40)?, , =200+800a, or 800d = 800, os a=1m/s?, , Therefore, car B should accelerate with an acceleration 1 m/s”., , uesti i, our oes oe towns A and B are connected by a regular bus service, Sener a ae pee direction every 7’ min, A man cycling with a, oa a Nee : he direction A to B notices that a bus goes past him, direction, What ie ieee oh nee eed and every 6 min in opposite, mat tis the period 7 of the bus service ith’ spe, (assumed constant) do the buses ply on the road? 2 epsrerd