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Homework Help: Find the maximum speed of the elevato

  1. Sep 17, 2013 #1
    1. The problem statement, all variables and given/known data

    A person of mass mp stands on a scale in an elevator of mass me . The scale reads the magnitude of the force F exerted on it from above in a downward direction. Starting at rest at t=0 the elevator moves upward, coming to rest again at time t=t_0. The downward acceleration of gravity is g . The acceleration of the elevator during this period is shown graphically above and is given analytically by ay(t)=α−2αt_0t

    a) Find the maximum speed of the elevator. Express your answer in terms of α and t0

    b) Find the total distance traveled by the elevator. Express your answer in terms of α and t0 (enter alpha for α and t_0 for t0)

    2. Relevant equations

    3. The attempt at a solution

    I got part a right (answer is 1/4*alpha*t_0) but I don't know how to get b I tried integrating the velocity with repsect to t with the limits of t_0 and 0 and I got 1/4*a*t_0^2, but that is not right. Can someone please tell me what I;m doing wrong?
  2. jcsd
  3. Sep 17, 2013 #2
    What is the velocity function and how do you integrate it?
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