Question

While moving with uniform acceleration, a body has covered $550m$ in $10$ second and attained a velocity of $105m{s}^{-1}$. Its initial velocity $u$ and acceleration $a$ respectively are

• A. $10m{s}^{-1},5m{s}^{-2}$
• B. $10m{s}^{-1},-5m{s}^{-2}$
• C. $5m{s}^{-1},10m{s}^{-2}$
• D. $10m{s}^{-1},0m{s}^{-2}$

Answer 1

The correct option is C $5m{s}^{-1},10m{s}^{-2}$

$v=u+at$
$105=u+10a.....\left(1\right)$
$550=u\left(10\right)+\frac{1}{2}\times a\times {10}^2$
$\Rightarrow 550=10u+50a\Rightarrow 55=u+5a.....\left(2\right)$
$e{q}^n\left(1\right)-e{q}^n\left(2\right)$
$\Rightarrow 50=5a$
$a=10m/s^2$
$u=5m/s$