1.A train starts from station A and for the first kilometer, it travels with a uniform acceleration. Then for the next two kilometers, it travels with a uniform spped. Finally, the train decelerates uniformly for another kilometer before coming to rest at station B. If the time for the whole journey is six minutes, draw the v-t graph and determine the maximum speed of the train
2.A 1-mile-long racetrack is to be designed with a 1/4-mile turns at each end. Determine the superelevation rate for a design speed of 70 mph, assuming f=.20.
3.A car travels along a horizontal circular curved road that has aradius of 600 m. If the speed is uniformly increased at a rate of2000 km/ h2 , determine the magnitude of theacceleration at the instant the speed of the car is 60 km/h.