Question

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

Answer 1

We know that Diatance is given by second equation of motion , $S=ut+\frac{1}{2}a{t}^2$

Here $S=?=$Distance

$u=0$= initial velocity

$a=3m/s^2$ = acceleratin

$t=8s=$ time

So, using the equation we get

$S=ut+\frac{1}{2}a{t}^2$

$\Rightarrow S=0+\frac{1}{2}\times 3\times 8^2$

$\Rightarrow S=96m$