help Item 6 Light-rail passenger trains that provide transportation within and b

Question

help Item 6 Light-rail passenger trains that provide transportation within and between cities speed up and slow down with a nearly constant (and quite modest) acceleration. A train travels through a congested part of town at 6.0 m/s. Once free of this area, it speeds up to 11 m/s in 8.0 s. At the edge of town, the driver again accelerates, with the same acceleration, for another 16 s to reach a higher cruising speed Part A what is the final spend? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

here,

the speed in congested area of the city , u = 6 m/s

speed of train when free from the area , v = 11 m/s

time taken to accelrate , t = 8 s

let the accelration of the train be a

using first equation of motion

v = u + a* t

11 = 6 + a * 8

a = 0.625 m/s^2

let the speed at the edge of town be v'

time taken to accelrate at edge of town , t' = 16 s

using first equation of motion

v' = v + a*t'

v' = 11 + 0.635 * 16

v' = 21 m/s

the speed of train at the edge of the town is 21 m/s

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