Re solve it by putting their numbers in it

Step 1: Formula for distance fallen from rest: $s = \frac{1}{2} g t^{2}$

Substitute $s = 45$ m, $g = 10$ m/s²:
$45 = \frac{1}{2} \times 10 \times t^{2}$
$45 = 5 t^{2}$

Simplify:
$t^{2} = 9$
$t = 3$ s (taking positive root)

Step 2: Formula for final velocity from rest: $v = g t$

Substitute $g = 10$ m/s², $t = 3$ s:
$v = 10 \times 3 = 30$ m/s

Final answers: Time = $\boxed{3 s}$, Velocity = $\boxed{30 m/s}$