Question Number 47965 by Rio Michael last updated on 17/Nov/18
$${A}\:{small}\:{body}\:{is}\:{made}\:{to}\:{travel}\:{linearly}\:{t}\:{sconds}\:{after}\:{the}\: \\ $$$${start}.{Its}\:{distance}\:{S}\:{meters}\:{from}\:{a}\:{fix}\:{point}\:{O}\:{on}\:{a}\: \\ $$$${linear}\:{scale}\:{is}\:{given}\:{by}\:{S}\:=\:{t}^{\mathrm{2}} −\mathrm{5}{t}\:+\:\mathrm{6}. \\ $$$$\left.{a}\right)\:{How}\:{far}\:{is}\:{the}\:{body}\:{from}\:{O}\:{at}\:{the}\:{start}? \\ $$$$\left.{b}\right){with}\:{what}\:{velocity}\:{does}\:{it}\:{start}? \\ $$$$\left.{c}\right){when}\:{is}\:{the}\:{body}\:{momentarily}\:{at}\:{rest}? \\ $$$$\left.{d}\right)\:{What}\:{is}\:{the}\:{acceleration}\:{of}\:{the}\:{body}? \\ $$