Question

A bus starts from rest and moves with a uniform acceleration of 1m/s² for 5 minutes. Calculate the distance travelled by the bus.
(A) 300m
(B) 30km
(C) 4500m
(D) 45km​

Answer 1

$Given, \\ \\ acceleration \: = \: 1 \: m \:per \: {s}^{2} \: \: \: \: \: time \: = \: 5 \: minutes \: = 300 \: s \\ \\ \\ \\ \\ d \: = \: \frac{1}{2} \: \times {at}^{2} \\ \\ d \: = \: \frac{1}{2} \: \times {(1 \times 300)}^{2} \\ \\ d \: = \: \frac{1}{2} \: \times 90000 \\ \\ \color{pink}{ \underline{ d \: = \: 45000 \: m \: or \: 45 \: km}} \\ \\ \\ \\ \therefore \: The \: distance \: travelled \: by \: the \: bus \: i s\: 45 \: km \: so \: option \: d \: is \: the \: correct \: answer.$