Question

A body starts from rest and moves a uniform acceleration of $10m{s}^{-2}$ in the first $10s$. During the next $10s$ it moves with the maximum velocity attained. The total displacement of the body is

• A. $2000m$
• B. $1000m$
• C. $1500m$
• D. $500m$

Answer 1

The correct option is C $1500m$

$u=0$ [rest] , $a=10m/s^2$ $t=10sec$

displacement $s=ut+\frac{1}{2}a{t}^2=0+\frac{1}{2}\times 10\times 100=500$

$ma{x}^m$ velocity attained $v=u+at=0+10\times 10=100m/s$

displacement in the latter $10sec$ will be

$s=v\times t=100\times 10=1000$ meter

$\Rightarrow$ Net displacement $=s+s=1500m$