Question

lara made the table below of the predicted values for h(t), the height, in meters, of a penny t seconds after it is dropped off of the back of the bleachers. to the nearest tenth of a second, how much time would it take the penny to hit the ground? height of penny over time

t	h(t)
0.1	1.951
0.2	1.804
0.3	1.559
0.4	1.216
0.5	0.775
0.6	0.236
0.7	-0.401
0.8	-1.136

Explanation:

Step1: Identify ground - height condition

The penny hits the ground when $h(t)=0$. Looking at the table, $h(t)$ changes sign between $t = 0.6$ and $t = 0.7$.

Step2: Determine closest value

Since $h(0.6)=0.236$ and $h(0.7)= - 0.401$, the value of $t$ for which $h(t)$ is closest to $0$ is $0.6$ seconds.

Answer:

$0.6$ seconds