science

An elevator cab in NY Marriott has a total run of 190 m . IT's max speed is 305m/min Its acceleration and deceleration both have a magnitude of 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 trip 190m start and end at rest?

What would the equation be for this problem?



There is no single equation to plug into. You need to do this problem, like many in enginering and physocs, one step at a time.
First calculate the time it takes to accelerate to maximum speed and the (equal) time that it takes to decelerate from that speed to zero. That time is
t = Vmax/a = (305 m/min)*(1/60min/s)/1.22 m/s^2 = 4.17 s
So the elevator spends 8.34 s accelerating and decelerating. Figure out how far in goes during each of those intervals. That distance is
X1 = X3 = (1/2) a t^2 = 10.6 m
That is the answer to part (a) of your question. For part (b), calculate how much of the total run is traversed at constant velocity. That would be
X2 = 190 - (2)(10.6) = 168.8 m
For the total transit time, add the time spent accelerating, decelerating, and the time spend traveling at maximum speed. The latter time is just
t2 = 168.8 m/305 m/min = 0.553 min = 33.2 s.
Add 2t to that for your answer.

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    "Cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven. Pick a U.S. city and research the rates of two different cab companies in that city. Find companies that charge

  2. Physics

    As part of a physics experiment, you stand on a bathroom scale in an elevator. Though your normal weight is 690 N, the scale at the moment reads 588 N. (a) Is the acceleration of the elevator upward, downward, or zero? (b)

  3. physics

    The motor for an elevator can produce 2200 W of power. The elevator has a mass of 1100 kg complete with contents . At what constant speed will the elevator rise ?

  4. Physics

    An elevator lifts a total mass of 1.1 x 10^3 kg, a distance of 40 m in 12.5s. How much power does the elevator demonstrate?

  1. physics

    an elevator lifts a total mass of 1.1x10^3 kg, a distance of 40 m in 12.5 s. How much power does the elevator demonstrate? P=w/t w=mgd (1.1x10^3)(9.8)(40)=4.3x105J 4.3x10^5J/12.5=3.4x10^4 is this right or should 12.5 s be

  2. math

    A taxi cab company charges $8.00 per ride plus $0.75 for each mile driven. Which equation models the total cost (c), in dollars, of a taxi cab ride, where m is the number of miles driven?

  3. math

    On Tuesday and Wednesday, cab fare cost $7.75 total. On Monday and Thursday, cab fare cost $6.30 on each day. On Friday, cab fare cost $7.00. What was the average daily cost

  4. physics

    A loaded elevator with very worn cables has a total mass of 2200kg, and the cables can withstand a maximum tension 28 000N a) what would be the maximum upward acceleration for the elevator if the cables are not to break? b) what

  1. Physics

    Safety engineers estimate that an elevator can hold 20 persons of 65 kg average mass. The elevator itself has amass of 450 kg. Tensile strength tests show that the cable supporting the elevator can tolerate a maximum force of

  2. Physics

    An 80 kg man stands in an elevator. What force does the floor of the elevator exert on the man if a) the elevator is stationary? b) the elevator accelerates upward at 2 m/s2? c) the elevator rises with constant velocity 4 m/s? d)

  3. physics

    a 3200-lb elevator cab is supported by a cable in which the maximum safe tension is 4000 lb. (a)what is the greatest upward acceleration the elevator cab can have? (b) the greatest downward acceleration?

  4. Physics

    fully loaded, slow-moving freight elevator has a cab with a total mass of 1250 kg, which is required to travel upward 58 m in 3.4 min, starting and ending at rest. The elevator's counterweight has a mass of only 1005 kg, and so

You can view more similar questions or ask a new question.