Question

analyzing projectile motion represented by a table
the table relates to a function h(t) that models the height of a rock t seconds after it is dropped.
when does the rock hit the ground?
the rock hits the ground between seconds and seconds after it is dropped.

t	h(t)
0.5	18.8
1	15.1
1.5	9
2	0.4
2.5	-10.6
3	-24.1

Explanation:

Step1: Identify ground - hitting condition

The rock hits the ground when $h(t)=0$. We look for the interval where the height changes sign from positive to negative.

Step2: Analyze table values

When $t = 1.5$, $h(1.5)=9$ (positive) and when $t = 2$, $h(2)=0.4$ (positive), when $t = 2.5$, $h(2.5)= - 10.6$ (negative).

Answer:

2; 2.5