Question

A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of $3.0$ $m s^{–2}$ for $8.0$ $s$. How far does the boat travel during this time?

Answer 1

Given Initial velocity of motorboat, $u$ = $0$
Acceleration of motorboat, $a$ = $3.0$ $m s^{-2}$
Time under consideration, $t$ = $8.0$ $s$
We know that Distance, $s$ = $ut$ + $\bigg(\frac{1}{2}\bigg)at^2$
Therefore, The distance travel by motorboat = $0 \times 8 + \bigg(\frac{1}{2}\bigg)3.0 \times 8 ^2$
= $\bigg(\frac{1}{2}\bigg) \times 3 \times 8 \times 8$ m
= $96$ $m$