lara made the table below of the predicted values for h(t), the height, in meters, of a penny t seconds…

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. height of penny over time\n| t | h(t) |\n|----|----| \n| 0 | 2 |\n| 0.1 | 1.951 |\n| 0.2 | 1.804 |\n| 0.3 | 1.559 |\n| 0.4 | 1.216 |\n| 0.5 | 0.775 |\n| 0.6 | 0.236 |\n| 0.7 | -0.401 |\n| 0.8 | -1.136 |\nto the nearest tenth of a second, how much time would it take the penny to hit the ground? 0.5 seconds 0.6 seconds 0.7 seconds 0.8 seconds

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. height of penny over time\n| t | h(t) |\n|----|----| \n| 0 | 2 |\n| 0.1 | 1.951 |\n| 0.2 | 1.804 |\n| 0.3 | 1.559 |\n| 0.4 | 1.216 |\n| 0.5 | 0.775 |\n| 0.6 | 0.236 |\n| 0.7 | -0.401 |\n| 0.8 | -1.136 |\nto the nearest tenth of a second, how much time would it take the penny to hit the ground? 0.5 seconds 0.6 seconds 0.7 seconds 0.8 seconds

Answer

Explanation:

Step1: Identify ground - hitting condition

The penny hits the ground when $h(t)=0$. We look at the values in the table.

Step2: Analyze table values

When $t = 0.6$, $h(t)=0.236$ and when $t = 0.7$, $h(t)=- 0.401$. The height changes sign between $t = 0.6$ and $t = 0.7$. Since we want the time when it hits the ground (height $h(t)$ crosses from positive to negative), and we are asked for the value to the nearest tenth of a second, the time is $0.7$ seconds.

Answer:

0.7 seconds