Question

PLEASE PLEASE HELP ME A pinecone drops from a tree branch that is 36 feet above the ground. The function h = -16t2 + 36 is used. If the height h of the pinecone is in feet after t seconds, at about what time does the pinecone hit the ground? Could 2 seconds be a reasonable answer to this model?

Answer 1

T = 1.5s

Explanation:

Hello,

To find the time the pincone hits the ground, we need to use the equation given.

Note that h = 0 when the pinecones hits the ground.

This question relates to motion under gravity.

h = -16t² + 36

0 = -16t² + 36

Make t² the subject of formula

16t² = 36

t² = 36 / 16

t² = 2.25

Take the square root of both sides

t = √(2.25)

t = 1.5s

The time it takes the pinecone to hit the ground is 1.5s.