Velocity of an object fired directly in upward direction is given by ܸ$V\mathit{}=80-32 t\mathit{}$, where $t\mathit{}$ (time) is in seconds. When will the velocity be between $32 \;m/sec$ and $64 \;m/sec$?
Given
$32< 80 - 32 t\mathit{} < 64$
$-48 < - 32 t\mathit{} < - 16$
$48 > 32 t\mathit{} > 16$
$\dfrac{3}{2} > t\mathit{} > \dfrac{1}{2}$
so ans is option c) $\left(\dfrac{1}{2} ,\dfrac{3}{2}\right)$