Question

mariana created a table of values representing the height in feet, h(t), of a coconut falling to the hard ground with a height of 0 feet, collected over t seconds. assume the coconut does not bounce and rests on the ground when it lands. height of coconut over time which statement is true? the initial height of the coconut is 190 feet. the values of h(t) when t = 4 and 5 should be 0. the maximum height of the coconut was 1 second after it was dropped.

t	h(t)
1	194
2	146
3	66
4	-46
5	-190

Explanation:

Step1: Analyze initial height

When \(t = 0\), from the table \(h(0)=210\) feet, so the initial height is 210 feet, not 190 feet.

Step2: Analyze when coconut hits ground

The coconut hits the ground when \(h(t)=0\). Looking at the values, as \(t\) increases, the height is decreasing. When \(t = 3\), \(h(3)=66\) and when \(t = 4\), \(h(4)= - 46\). This means it has already hit the ground between \(t = 3\) and \(t = 4\), so \(h(4)\) and \(h(5)\) should be 0 since it is on the ground and has a height of 0 feet.

Step3: Analyze maximum height time

The maximum height is the initial height at \(t = 0\) which is 210 feet, not 1 second after it was dropped.

Answer:

The values of \(h(t)\) when \(t = 4\) and \(5\) should be 0.