Question

The velocity of the vehicle increases from 30m/ sec to 50m/secin 4second . find the acceleration of the car​

Answer 1

$\huge \fbox{Answer}$

$\large \underline{\underline{\frak{ \color{red}Given:}}}$

${ \mapsto \sf{Initial \: velocity(u) \: of \: vehicle=30m {s}^{ - 1} }}$

${ \mapsto \sf{Final\: velocity(v) \: of \: vehicle=30m {s}^{ - 1} }}$

${ \mapsto \sf{Time(t) \: taken \: to \: change \: in \: velocity=4sec}}$

$\large \underline{\underline{\frak{ \color{blue}To \: find:}}}$

$\leadsto \sf{Acceleration(a) \: of \: vehicle. }$

$\large \underline{\underline{\frak{ \color{bl}Formula \: required:}}}$

$\mp{\boxed {\rm{Acceleration(a) = \frac{Final \: velocity(v) - Initial \: velocity(u) }{Time(t) } }}} \mp$

$\large \underline{\underline{\frak{ \color{indigo}Concept \: used:}}}$

${ \rightarrow \sf{The \: S. I. \: unit \: of acceleration (a) \: is \: m {s}^{ - 2 } .}}$

$\large \underline{\underline{\frak{ \color{cyan}According \: to \: Question:}}}$

${: : \implies{\sf{Acceleration(a) = \frac{Final \: velocity(v) - Initial \: velocity(u) }{Time(t) } }}}$

${: : \implies{\sf{Acceleration(a) = \frac{50m {s}^{ - 1} -30 m{s}^{ - 1} }{4sec } }}}$

${: : \implies{\sf{Acceleration(a) = \frac{20 m{s}^{ - 1} }{4sec } }}}$

${: : \implies{\sf{Acceleration(a) =5 m{s}^{ - 2 } }}}$

$\bf{Hence,}$

$\: \: \: \: \: \: \: \: \: \: \: \star{\boxed {\rm{Acceleration(a) =5m {s}^{ - 2} } }} \star$