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Question Number 182253 by Tawa11 last updated on 06/Dec/22

Commented by Tawa11 last updated on 06/Dec/22

Sirs, see whag I did.    h  =  5  +  30t  −  5t^2        h′   =   30   −   10t            10t   =   30                t   =   ((30)/(10))                   t   =   3 sec.    Am I correct ???

$$\mathrm{Sirs},\:\mathrm{see}\:\mathrm{whag}\:\mathrm{I}\:\mathrm{did}. \\ $$$$\:\:\mathrm{h}\:\:=\:\:\mathrm{5}\:\:+\:\:\mathrm{30t}\:\:−\:\:\mathrm{5t}^{\mathrm{2}} \\ $$$$\:\:\:\:\:\mathrm{h}'\:\:\:=\:\:\:\mathrm{30}\:\:\:−\:\:\:\mathrm{10t} \\ $$$$\:\:\:\:\:\:\:\:\:\:\mathrm{10t}\:\:\:=\:\:\:\mathrm{30} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{t}\:\:\:=\:\:\:\frac{\mathrm{30}}{\mathrm{10}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{t}\:\:\:=\:\:\:\mathrm{3}\:\mathrm{sec}. \\ $$$$ \\ $$$$\mathrm{Am}\:\mathrm{I}\:\mathrm{correct}\:??? \\ $$

Commented by akacad last updated on 06/Dec/22

maximum height is 50 meter. putting  t = 3 in the given equation for h.  velocity after 2 seconds is given by (dh/dt)   = 30−10t. putting t = 2 it comes 10 m/s

$${maximum}\:{height}\:{is}\:\mathrm{50}\:{meter}.\:{putting} \\ $$$${t}\:=\:\mathrm{3}\:{in}\:{the}\:{given}\:{equation}\:{for}\:{h}. \\ $$$${velocity}\:{after}\:\mathrm{2}\:{seconds}\:{is}\:{given}\:{by}\:\frac{{dh}}{{dt}}\: \\ $$$$=\:\mathrm{30}−\mathrm{10}{t}.\:{putting}\:{t}\:=\:\mathrm{2}\:{it}\:{comes}\:\mathrm{10}\:{m}/{s} \\ $$

Commented by Tawa11 last updated on 07/Dec/22

I understand, God bless you sir.

$$\mathrm{I}\:\mathrm{understand},\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$

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