Answer
Option B
$$s=-16(2)^2+45(2)$$
Work Step by Step
The formula for the height in feet, $s$, of an object launched vertically at $45$ feet/sec after $t$ seconds is given as:
$s=-16t^2+45t$
To find the height of the object after $2$ seconds, plug in $2$ for $t$:
$$s=-16(2)^2+45(2)$$
which is option B