Question

Object is falling down with a speed of 30m/s. After 3 seconds its velocity will be ? (g=10m/s2)​

Answer 1

${\mathfrak{\underline{\purple{\:\:\: Given:-\:\:\:}}}}$

$\:\:\:\:\bullet\:\:\:\sf{Initial\: velocity\: (u) \:= \:30m/s}$

$\:\:\:\:\bullet\:\:\:\sf{Time \ taken \ (t) \ = \ 3 s}$

$\:\:\:\:\bullet\:\:\:\sf{Acceleration \ (a) \ = \ 10m/s^{2}}$

${\mathfrak{\underline{\purple{\:\:\:To \:Find:-\:\:\:}}}}$

$\:\:\:\:\bullet\:\:\:\sf{Final \ velocity \ (v)}$

${\mathfrak{\underline{\purple{\:\:\: Solution:-\:\:\:}}}}$

${\sf{\underline{\:\:\:By \ using \ 1st \ equation \ of \ motion\:\:\:}}}$

$\dashrightarrow\:\: \sf{v = u+at}$

$\dashrightarrow\:\: \sf{ v = 30 + 10\times 3}$

$\dashrightarrow\:\: \sf{ v = 30 + 30}$

$\dashrightarrow\:\: \sf{ v = 60m/s}$

$\therefore\:\:{\underline{\sf{ \: Final\: velocity\: of \:the \:object \:is \:60m/s\:}}}$

${\mathfrak{\underline{\purple{\:\:\:Additional \:Information:-\:\:\:}}}}$

$\star\:\sf{Some\:equation\: of \:motion }$

$\boxed{</p><p></p><p>\begin{minipage}{3 cm} \\</p><p></p><p>\sf{\:\bullet\:\:v = u +at} \\ \\</p><p></p><p>\sf{\:\bullet\:\:s = ut + \frac{1}{2}\:at^{2} }\\ \\</p><p></p><p>\sf{\:\bullet\:\:v^{2} = u^{2} + 2as}\\ </p><p></p><p>\end{minipage}</p><p></p><p>}$

$\sf{Where,}$

$\:\:\:\:\bullet\:\:\:\textsf{v = Final velocity}$

$\:\:\:\:\bullet\:\:\:\textsf{u = Initial velocity}$

$\:\:\:\:\bullet\:\:\:\textsf{a = Acceleration}$

$\:\:\:\:\bullet\:\:\:\textsf{s = Distance}$

$\:\:\:\:\bullet\:\:\:\textsf{t = Time taken}$