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artcher [175]
3 years ago
11

A pebble drops from a balcony that is 80 feet above the ground. The pebble lands on the top of a sign that is 16 feet high. The

function y=80−16t2 represents the height y (in feet) of the pebble t seconds after dropping from the balcony. How many seconds does the pebble drop before hitting the sign?
The pebble hits the sign after ______ seconds.
Mathematics
1 answer:
3241004551 [841]3 years ago
7 0

Answer:

t =2 seconds

Step-by-step explanation:

We have, a function that represents the height y of the pebble after dropping the balcony as follows :

y=80-16t^2

The pebble lands on the top of a sign that is 16 feet high.

It is required to find the time does the pebble drop before hitting the sign. The above equation becomes,

80-16t^2=16\\\\-16t^2+80=16\\\\-16t^2=64\\\\t^2=4\\\\t=2

So, the pebble hits the sign after 2 seconds.

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steposvetlana [31]
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Answer:

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