an100922w: HW 6 NAME: DATE: YrV PERIOD: 800 7m oo 600 .!l a EEsm &t gEa00 8{t 300 ut 200 100 0 J, Tinc G) 51015 1) A student whose normal weight is 500 newtons stands on a scale in an elevator and records the scale reading as a function of time. The data arc shown in the graph above. At time t : 0, the elevator is at displacement x: 0 with velocity v: 0. Assume that the positive directions for displacement, velocity, and acceleration are upward. a. On the diagram below, draw and label all of the forces on the student att:8 seconds. .R I b. Calculate the acceleration a of the elevator for each 5-second interval. i. Indicate your results by completing the following table. Time Interval (s) 0-5 5-10 10-15 t5-20 o a (mjs2) ii. Plot the acceleration (\a as a IL 0 -+ function of time on the following graph. J E €o cl iD $ <-5 ,20 I Time (s) c. Determine the velocity v of the elevator at the end of each 5-second interval. i. Indicate your results by completing the following table. Time (s) 0-5 10- 15 ?t) 0 v (ml s) r5-20 {) ii. Plot the velocity as a function of time on the following graph. ll,q 6 |"^ Tirp (s) )'l t) 6 t) Deterrnine the displacement x of the elevator above the starting point at the end of each 5-second interval. i. Indicate your results by completing the following table. Time (s) 0-5 s-10 l0-1 5 15-20 x(m) b ii. Plot the displacement ell J.00 as a function of time on the following graph. ----1 I I I ---J g E t) 150 ----'t e I I it) o cl Erm o I I I I I ---J Tinc (s) Tefiiea} P*sltis$tm) Tissc {*} 2- The vertical p*ieitisn of an elevator as a firnf,tinn nf tirne is shcurn a.bove. &- fln the grid b*l*w- grnph the velocity *f the elevat*r ar a functinn r:f tirne. V*lecily {rt#*} 11* 4 yn t]ng J t 4r*,y *_ lJ*Q *_,l'Try h^o rfi ry I * *rirne {r} *ri, iz * +4+ -l--.''f.---r-"I---Tt-"T.-"r.--|.-.-r+* 6 iA*\foinfuf,*{*i*i l0 n 14 t6 lx 2$ 22 24*{26 -t 4. ot€ -., b+t= w;_^) 1f-)A 'tfryJ 1 -4 b" i" Cal*ulate the averag* ac*eleraticn fr;r the fime perind fi,4w # Wu*s r\ +lr ,r' a u* tr {s * ff t: I s to t = 1* s. *-} w' fr-*-Fl f,H)' f,s) #{*) .*b* flA ii. #n the box belnwthat &vefags ncceleratien. r*.pr*snmts the elevat*r, drnw n vert*r t*l rep,ressnt th* directisn nf thi* *1