Question

The distance travelled by a particle starting from rest and moving with an acceleration $\frac{4}{3}{\text{m/s}}^2$, in the third second is

• A. $\frac{10}{3}\text{m}$
• B. $\frac{19}{3}\text{m}$
• C. $6\text{m}$
• D. $4\text{m}$

Answer 1

The correct option is A $\frac{10}{3}\text{m}$

Distance travelled in the 3rd second
$=$ Distance travelled in 3 seconds $-$ distance travelled in 2 seconds.

Using the second equation of motion
$s=ut+\frac{1}{2}a{t}^2$
As $u=0,$
$s=\frac{1}{2}a{t}^2$

$s_3=\frac{1}{2}\times \frac{4}{3}\times (3^2-2^2)$

$s_3=\frac{1}{2}\times \frac{4}{3}\times 5=\frac{10}{3}\text{m}$

Hence, the corrrect answer is option (a).