Question

A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of $3.0m{s}^{-2}$ for $8s$. How far does the boat travel during this time?

• A. $96m$
• B. $192m$
• C. $12m$
• D. $72m$

Answer 1

The correct option is A $96m$

Given, initial velocity of boat is: $u=0$
Acceleration is: $a=3m{s}^{-2}$
Time is: $t=8s$

Using second equation of motion:

$s=ut+\frac{1}{2}a{t}^2$
$s=0\times 8+\frac{1}{2}\times 3\times 8^2=96m$.