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
= \(96\) \(m\)