Question

A 3000 lbm car is moving initially at a speed of 20 ft/s south bound towards an intersection with a railroad track. When the car is 100 ft from the intersection, the driver sees a train traveling east bound toward the intersection at a speed of 15 ft/s. At the same same instant the train is 40 ft from the intersection. The train maintains a constant speed, and the driver has negligible reaction time. If the car is capable of accelerating at a rate of a(t) = m/s?, can the car beat the train to the interesection? Support your answer mathematically. Car 20 ft/s 100 ft Train 40 ft 15 ft/s

Answer 1

Time required for car to reach at intersection (tory If Time required for Train to reach at intersection (tor if t train> tear avoid accident. calculate train Distance 40 velocity Then we can 2.667 sec 15 train = 2.667 see reach s If car can at Intersection before to 2.667 sec so we can avaid Accident.

Calculate Motin (from equation of D = Vot to tear 2 9=10 mly F a 32.8 ftiga t tate 100 = (20)++ 32.8 t? t 52.6t=100 t=1.894 sec eur car to car ttrain = 2.667 sec (Time required for train to reach X tear = 1.894. sec 1.894.sec (Time required for reach X so t train > tear means will reach first at intersection Spot. Then after intersect 0.773 sec. Train will reach at spot. so, There will be no accident.

Yes, Car will beat train at intersection.

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