A gust of wind forces a rock to fall off a cliff that's 20 feet high. This is represented by the function h (t) = - 16t2 + 20, where t represents the time measured in seconds, and h represents height above the ground. Approximate how many seconds it takes for the rock to hit the ground.

Answer Options:

A.) 1.25 seconds

B.) 1.5 seconds

C.) 1.12 seconds

D.) 1 second

Question

Mathematics

Guest

21 November, 10:10

A gust of wind forces a rock to fall off a cliff that's 20 feet high. This is represented by the function h (t) = - 16t2 + 20, where t represents the time measured in seconds, and h represents height above the ground. Approximate how many seconds it takes for the rock to hit the ground.

Answer Options:

A.) 1.25 seconds

B.) 1.5 seconds

C.) 1.12 seconds

D.) 1 second

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Answers (1)

Know the Answer?

Ruth Daugherty · Answer 1

Answer: C.) 1.12 seconds

Step-by-step explanation:

Hi, to answer this question we have to substitute h=0 (when the rock hits the ground the height above it is 0) in the equation given:

h (t) = - 16t2 + 20

Solving for t (time)

0 = - 16t2 + 20

16t2=20

t2=20/16

t=√1.25 = 1.12 seconds (option C)

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