9.7k views
4 votes
A bird drops a stick to the ground from a height of 68 ft. The function h= -16r² +68 gives the stick's approximate height h above the ground, in feet, after t seconds. At about what

time does the stick hit the ground?

User Wige
by
7.8k points

1 Answer

1 vote

Answer: 2.05 seconds.

Explanation:

The function h = -16r² + 68 gives the height of the stick above the ground in terms of time r. When the stick hits the ground, its height is 0 feet. We can set h = 0 and solve for r to find the time at which the stick hits the ground:

0 = -16r² + 68

Adding 16r² to both sides, we get:

16r² = 68

Dividing both sides by 16, we get:

r² = 4.25

Taking the square root of both sides, we get:

r = 2.05

Since r is in seconds, the stick hits the ground at approximately 2.05 seconds.

User Justinas Jakavonis
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories