Integrated Concepts An elevator filled with passengers has a mass of $1700$ kg$.($a$)$ The elevator accelerates upward from rest at a rate of $1\mathrm{.}20$ m$/$s$2$ for $1\mathrm{.}50$ s$.$ Calculate the tension in the cable supporting the elevator. $($b$)$ The elevator continues upward at constant velocity for $8\mathrm{.}50$ s$.$ What is the tension in the cable during this time? $($c$)$ The elevator decelerates at a rate of $0\mathrm{.}600$m$/$s$2$

for $3\mathrm{.}00$ s$.$ What is the tension in the cable during deceleration? $($d$)$ How high has the elevator

moved above its original starting point, and what is its final velocity?