Question

The expression for the displacement $s$ covered in time $t$ by a body which is initially at rest and starts moving with a constant acceleration $a$ is:

• A. $s=\frac{1}{2}at$
• B. $s=\frac{1}{2}a{t}^2$
• C. $s=a{t}^2$
• D. $s=\frac{1}{2}u{a}^2$

Answer 1

The correct option is B $s=\frac{1}{2}a{t}^2$

For a body which is initially at rest, $u=0$
Putting the value of $u$ in the second equation of motion,

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