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

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SUMMARY

The discussion focuses on calculating the time required for a nonstop 190m elevator run, given a maximum speed of 305m/min and an acceleration of 1.22m/s². The first part of the problem involves determining the distance the elevator travels while accelerating to full speed from rest. The second part requires calculating the total time for the elevator to complete the 190m run, starting and ending at rest. A velocity-time (v-t) graph is suggested to visualize the motion and calculate the area under the graph for further insights.

PREREQUISITES
  • Understanding of kinematic equations for uniformly accelerated motion
  • Familiarity with velocity-time graphs and their interpretation
  • Knowledge of basic calculus for calculating areas under curves
  • Concept of acceleration and its impact on motion
NEXT STEPS
  • Calculate the distance traveled during acceleration using the formula: d = (v² - u²) / (2a)
  • Learn how to derive time from distance and speed using the equation: t = d/v
  • Explore the concept of area under a v-t graph to find total distance and time
  • Review examples of similar kinematic problems in physics textbooks, such as Halliday's Fundamentals of Physics
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, engineers involved in elevator design, and anyone interested in motion analysis and problem-solving in mechanics.

blinkbubble
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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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