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The velocity-time graph of an ascending passenger lift is shown in the figure below. (i) Identify the kind of motion of lift represented by lines OA and BC. (ii) Calculate the acceleration of the lift: (a) During the first two seconds. (b) Between the 3rd and 10th second. (c) During the last two seconds.
Asked by Topperlearning User | 15 Jun, 2016, 01:31: PM
answered-by-expert Expert Answer

begin mathsize 12px style left parenthesis straight i right parenthesis space Motion space represented space by space lines space OA space and space BC space are space uniformly space accelerated space and space uniformly space decelerated space motion space respectively. space left parenthesis ii right parenthesis space The space acceleration space of space the space lift space colon space left parenthesis straight a right parenthesis space During space the space first space two space seconds space left parenthesis from space straight O minus straight A right parenthesis space space space space space space space straight a equals fraction numerator straight v minus straight u over denominator straight t end fraction equals fraction numerator 4.6 minus 0 over denominator 2 end fraction equals 2.3 space straight m divided by straight s squared left parenthesis straight b right parenthesis space Between space third space and space tenth space second comma space the space graph space is space straight a space straight space line space parallel space to space the space time space axis. space Hence comma space the space acceleration space equals space 0. space left parenthesis straight c right parenthesis space During space the space last space two space seconds space left parenthesis from space straight B minus straight C right parenthesis space space space space space space straight a equals fraction numerator straight v minus straight u over denominator straight t end fraction equals fraction numerator 0 minus 4.6 over denominator 2 end fraction equals negative 2.3 space straight m divided by straight s squared end style

Answered by | 15 Jun, 2016, 03:31: PM

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