You are an engineer in charge of designing a new generation of elevators for a p

Question

          You are an engineer in charge of designing a new generation of elevators for a prospective upgrade to the Empire State Building. Before the state legislature votes on funding for the project, they would like you to prepare a report on the benefits of upgrading the elevators. One of the numbers that they have requested is the time it will take the elevator to go from the ground floor to the 102nd floor observatory. They are unlikely to approve the project unless the new elevators make the trip much faster than the old elevators. If state law mandates that elevators cannot accelerate at greater than 2.70 m/s2 or travel faster than 10.3 m/s, what is the minimum time in which an elevator can travel the 373 m from the ground floor to the observatory floor?           You are an engineer in charge of designing a new generation of elevators for a prospective upgrade to the Empire State Building. Before the state legislature votes on funding for the project, they would like you to prepare a report on the benefits of upgrading the elevators. One of the numbers that they have requested is the time it will take the elevator to go from the ground floor to the 102nd floor observatory. They are unlikely to approve the project unless the new elevators make the trip much faster than the old elevators. If state law mandates that elevators cannot accelerate at greater than 2.70 m/s2 or travel faster than 10.3 m/s, what is the minimum time in which an elevator can travel the 373 m from the ground floor to the observatory floor?      You are an engineer in charge of designing a new generation of elevators for a prospective upgrade to the Empire State Building. Before the state legislature votes on funding for the project, they would like you to prepare a report on the benefits of upgrading the elevators. One of the numbers that they have requested is the time it will take the elevator to go from the ground floor to the 102nd floor observatory. They are unlikely to approve the project unless the new elevators make the trip much faster than the old elevators. If state law mandates that elevators cannot accelerate at greater than 2.70 m/s2 or travel faster than 10.3 m/s, what is the minimum time in which an elevator can travel the 373 m from the ground floor to the observatory floor? You are an engineer in charge of designing a new generation of elevators for a prospective upgrade to the Empire State Building. Before the state legislature votes on funding for the project, they would like you to prepare a report on the benefits of upgrading the elevators. One of the numbers that they have requested is the time it will take the elevator to go from the ground floor to the 102nd floor observatory. They are unlikely to approve the project unless the new elevators make the trip much faster than the old elevators. If state law mandates that elevators cannot accelerate at greater than 2.70 m/s2 or travel faster than 10.3 m/s, what is the minimum time in which an elevator can travel the 373 m from the ground floor to the observatory floor?

Explanation / Answer

elivator should stop at 102nd floor,max speed is 10.3 m/s

so it should start decelrating at distance s1

v^2-u^2=2*a*s

=>0-10.3^2=-2*2.7*s1

=>s1=19.65m

time required to stop is 0=10.3-2.7*t

=>t=3.8s

so elevator should start decelrating at 373-19.65m=353.35m

time to reach this dist. from ground be t1

time required to reach max spped is also 3.8 sec and dist travelled before reaching max speed frpm ground is 19.65 m.

So lift travels at const. speed for 333.7m

time for which it is in uniform speed is t=333.7/10.3=32.4 sec

Therefor total time is 3.8+32.4+3.8=40sec

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