asked 92.7k views
0 votes
A penny is dropped from a height of 144 feet. Calculate the time between when the rock was dropped and when it landed. If we choose

"down" as positive and ignore air friction, the function is h(t) 16t2 - 144.

2 Answers

1 vote

Answer:

t = 3 seconds

Explanation:

answered
User Carkod
by
8.4k points
3 votes

Answer:

3 seconds

Explanation:

Given the function :

h(t) = 16t2 - 144.

h = height = 144 and t = time after t seconds the ball penny was dropped.

When the penny lands, h = 0

Therefore, our function becomes ;

16t2 - 144 = 0

The we can solve for t

16t^2 - 144 = 0

16t^2 = 144

Divide both sides by 16

(16t^2 / 16) = 144 / 16

t^2 = 9

Take the square root of both sides

t = 3

Therefore, the time between when the rock was dropped and when it landed is 3seconds

answered
User Obaa
by
8.2k points
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