Question

if acceleration =x sq. ,then find v when x is 2m,given at x=0 nad body is at rest?​

Answer 1

$\tt \orange{ \underline{ \underline{Question :-}}}$

→ Ig acceleration =x sq. ,then find v when x is 2m,given at x=0 nad body is at rest?

$\tt \orange{ \underline{ \underline{Answer :-}}}$

$\tt \green{→ Given : }$

$\tt{→ The \: \: acceleration \: \: a = x2 }$

$\tt{→ The \: value \: of \: x = 2 m }$

$\tt \green{ → To \: find : }$

$\tt{→ The \: velocity \: of \: the \: body . }$

$\tt \green{→ Solution : }$

$\tt{→ The \: acceleration \: is \: the \: double \: }$

$\tt{derivative \: of \: velocity . }$

$\tt{Velocity = x2 \: \frac{Ex3}{3}}$

$\tt{→ At \: x = 2 m}$

$\tt{Velocity \: \: v = 8 / 3 m / sec}$

$\tt{The \: velocity \: at \: rest \: v = 0 \: as \: x = 0}$

$\tt{Therefore \: velocity \: at \: x = 2 \: m ,}$

$\tt \pink{v = 8/3 m / sec}$