Question

A motor boat starting from rest accelerates at a constant rate of 3 m/s2 for 8 s. How far does the boat travel during this time?​

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{u}=0 \\ \mathrm{a}=3\mathrm{m}/{\mathrm{s}}^2 \\ \mathrm{t}=8\mathrm{s} \\ \mathrm{v}=\mathrm{u}+\mathrm{at} \\ \mathrm{v}=0+3\times 8 \\ \mathrm{v}=24\mathrm{m}/\mathrm{s} \\ {\mathrm{v}}^2-{\mathrm{u}}^2=2\mathrm{as} \\ {\left(24\right)}^2-0^2=2\times 3\times \mathrm{s} \\ \mathrm{s}=\frac{24\times 24}{6} \\ \mathrm{s}=96\mathrm{m} \end{gathered}$$