How Do You Calculate Time for a Nonstop 190m Elevator Run?

AI Thread Summary
To calculate the time for a nonstop 190m elevator run, first determine the distance the elevator travels while accelerating to its maximum speed of 305m/min, using the acceleration of 1.22m/s². This involves calculating the time taken to reach maximum speed and the distance covered during acceleration. After reaching maximum speed, the elevator will travel at a constant speed until it decelerates back to rest, which also needs to be factored into the total time. The area under the velocity-time graph represents the total distance covered, which can help in determining the time for the entire run. Understanding these steps is crucial for solving part b of the problem effectively.
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I solved part a of this problem but I'm having trouble figuring out the different steps for part b...could someone break it down clearly?

A certain elevator cab has a total run of 190m and a maximum speed of 305m/min, and it accelerates from rest and then back to rest at 1.22m/s^2
a. how far does the cab move while accelerating to full speed from rest?
b. how long does it take to make the nonstop 190m run, starting and ending at rest?

thanks :)
 
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Draw a v-t graph,
you know that v is contant when it reaches 350 m/min

and, what would be the area under graph?

P.S. Is this from Halliday, I solved this two days ago lol
 

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