Q9Single correct3 Marks11 Dec 2022

Assume that a ball was thrown from the point $(0, 3)$ on the $xy$-plane as shown in Figure 1. The ball reaches a maximum height of $5\text{ meters}$ and it returns to a height of $3\text{ m}$ after $2\text{ seconds}$. Let $h(t) = a t^2 + b t + c$ be the quadratic function which represents the height (in meters) of the ball after $t$ seconds, where $a, b, c \in \mathbb{Z} \setminus \{0\}$. Find the value of $a + b + c$.

A

4

B

1

C

-3

D

5