analyzing projectile motion represented by a table\nthe table relates to a function h(t) that models the…

analyzing projectile motion represented by a table\nthe table relates to a function h(t) that models the height of a rock t seconds after it is dropped.\nwhen does the rock hit the ground?\nthe rock hits the ground between seconds and seconds after it is dropped.\n| t | h(t) |\n|----|----|\n| 0 | 20 |\n| 0.5 | 18.8 |\n| 1 | 15.1 |\n| 1.5 | 9 |\n| 2 | 0.4 |\n| 2.5 | -10.6 |\n| 3 | -24.1 |

analyzing projectile motion represented by a table\nthe table relates to a function h(t) that models the height of a rock t seconds after it is dropped.\nwhen does the rock hit the ground?\nthe rock hits the ground between seconds and seconds after it is dropped.\n| t | h(t) |\n|----|----|\n| 0 | 20 |\n| 0.5 | 18.8 |\n| 1 | 15.1 |\n| 1.5 | 9 |\n| 2 | 0.4 |\n| 2.5 | -10.6 |\n| 3 | -24.1 |

Answer

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