Question Number 70798 by jagannath19 last updated on 08/Oct/19
Commented by jagannath19 last updated on 08/Oct/19
$${with}\:{explanation}\:{please}\:{sir} \\ $$
Answered by mind is power last updated on 08/Oct/19
$${v}=\frac{{dx}}{{dt}} \\ $$$${lets}\:{find}\:{equagion}\:{of}\:{v}\left({x}\right) \\ $$$${v}\left({x}\right)={ax}+{b}\:{line} \\ $$$${a}=\frac{\mathrm{8}−\mathrm{0}}{\mathrm{0}−\mathrm{4}}=−\mathrm{2} \\ $$$${v}\left(\mathrm{0}\right)={b}=\mathrm{8} \\ $$$$\Rightarrow{v}\left({x}\right)=−\mathrm{2}{x}+\mathrm{8} \\ $$$$\Rightarrow\frac{{dx}}{{dt}}=−\mathrm{2}{x}+\mathrm{8} \\ $$$${a}=\frac{{dv}}{{dt}}=\frac{{d}}{{dt}}\left(−\mathrm{2}{x}+\mathrm{8}\right)=−\mathrm{2}\frac{{dx}}{{dt}}=−\mathrm{2}{v} \\ $$$$\Rightarrow{a}\left({x}\right)=−\mathrm{2}{v}\left({x}\right) \\ $$$${a}\left({x}\right)=−\mathrm{2}\left(−\mathrm{2}{x}+\mathrm{8}\right)=\mathrm{4}{x}−\mathrm{16} \\ $$$${a}\left(\mathrm{0}\right)=−\mathrm{16}\:\:{a}\left(\mathrm{4}\right)=\mathrm{0}\Rightarrow\:{draw}\:\left(\mathrm{2}\right)\:{answer} \\ $$