Question

A driver applies the brake and slows down the velocity of the bus for from 90 km per hour to 30 km per hour in 5 second calculate the acceleration of the bus

Answer 1

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

$\sf{Given}\begin{cases}\sf{u=90kmh^{-1}=25ms^{-1}}\\ \sf{v==30kmh^{-1}=\frac{25}{3}ms^{-1}}\\ \sf{t=5s}\\ \sf{a=??}\end{cases}$

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

$\mathtt{\boxed{\blue{v=u+at}}}$

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

$\sf{\frac{25}{3}=25+5a}$

$\sf{\implies{\frac{25}{3}-25=5a}}$

$\sf{\implies{\frac{25-75}{3}=5a}}$

$\sf{\implies{\frac{25-75}{3\times{5}}=a}}$

$\sf{\implies{\cancel\dfrac{-50}{15}=a}}$

$\sf{\implies{a=-3.33ms^{-2}}}$

Therefore,,

$\mathtt{\underline{\boxed{\red{a=-3.33ms^{-2}}}}}$

$\rule{200}2$

❣️❣️❣️Hope it helps ❣️❣️❣️