A bird is in a tree 30 feet off the ground and drops at Twigs at lands on a rose bush 25 ft below. the function h (t) = - 16t^2+30, where T represents the time in seconds gifts the height H and feet of The Twig above the ground as it falls when will The Twig land on the bush

Question

Mathematics

Lucas Fox

12 August, 08:39

A bird is in a tree 30 feet off the ground and drops at Twigs at lands on a rose bush 25 ft below. the function h (t) = - 16t^2+30, where T represents the time in seconds gifts the height H and feet of The Twig above the ground as it falls when will The Twig land on the bush

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Answers (1)

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Deangelo Rasmussen · Answer 1

Answer: It will land on the bush after 1.25 seconds.

First, we will start with what we are given the equation: h (t) = - 16t^2 + 30

Now, we should input a 5 for the h (t) because we want the seconds that will give us a height of 5 seconds.

5 = - 16t^2 + 30

Solve the equation:

0 = - 16t^2 + 25

To solve this, you could use the quadratic formula or factor out a - 1 and you will have the difference of two squares.

Either way the answer is 1.25 seconds.