Question

A body starts from rest and moves with uniform acceleration $"a"m{s}^{-2}$. It moves a distance of $x_1$ meters in the first $t$ seconds and distance of $x_2$ meters in the seconds. The distance $x_2-x_1$ is:

• A. $\frac{1}{2}a{t}^2$
• B. $a{t}^2$
• C. $\frac{3}{2}a{t}^2$
• D. $2a{t}^2$

Answer 1

The correct option is A $\frac{1}{2}a{t}^2$

A body starts $u=0$ moves with uniform accuration= $4m/s^2$

distance= $x_1$ $m$ in first $t$ second

$2nd$ $x_2$ $m$ to $2nd$

$x_2-x_1=$ Let +$\frac{1}{2}f{t}^2$

where, $u=0,t=a$

Now, $x_2-x_1=\frac{1}{2}a{t}^2$ .