1. **State the problem:**
We are given the position function for an object under gravity:
$$s(t) = -\frac{1}{2}gt^2 + v_0 t + h_0$$
where $g = 9.8$, $v_0 = 28$, $h_0 = 3$, and we want to find the position at $t=2$ seconds.
2. **Write the formula and substitute known values:**
$$s(2) = -\frac{1}{2} \times 9.8 \times (2)^2 + 28 \times 2 + 3$$
3. **Calculate each term:**
$$-\frac{1}{2} \times 9.8 \times 4 = -\frac{1}{2} \times 39.2 = -19.6$$
4. **Calculate the velocity term:**
$$28 \times 2 = 56$$
5. **Sum all terms:**
$$s(2) = -19.6 + 56 + 3$$
6. **Simplify:**
$$s(2) = 39.4$$
**Final answer:**
$$\boxed{39.4}$$
This means the object is at 39.4 meters at $t=2$ seconds.
Position Time 0B033C
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