Question

A car moving with a velocity of lo ms-1 gain a velocity of 30ms after a distance of 4Km the acceleration is​

Answer 1

$\textbf{\large{\underline{\underline{EXPLANATION:}}}}$

$\sf{Given}\begin{cases}\sf{u=10ms^{-1}}\\ \sf{v=30ms^{-1}}\\ \sf{s=4km=4000m}\\ \sf{a=??}\end{cases}$

$\textbf{\underline{Using equation of motion,,}}</p><p>$

$\mathtt{\boxed{\blue{v^{2}-u^{2}=2as}}}$

$\textbf{\underline{Putting the given values,,}}</p><p>$

$\sf{(30)^{2}-(10)^{2}=2a\times{1000}}$

$\sf{\implies{900-100=2000a}}$

$\sf{\implies{\cancel\dfrac{800}{2000}=a}}$

$\sf{\implies{a=0.4 ms^{-2}}}$

Therefore,,

$\mathtt{\underline{\boxed{\red{a=0.4ms^{-2}}}}}$

$\rule{200}2$

❣️❣️❣️Hope it helps ❣️❣️❣️