Mathematics: The function y = -16^2 + 486 models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. how long will it take to hit the ground? round to the nearest hundredth of a second. a.) 7.79 seconds b.) 0.25 seconds c.) 5.51 seconds d.) 11.02

The function y = -16^2 + 486 models the height

Ответ:

vtrvfrfvrvfvnkjrf

09.01.2022

The function is y=f(t)=-16t^2+486

for example, at time t=2s , the height y of the stone is found as follows:

$y=f(2)=-16\cdot 2^2+486=-16\cdot4+486=-64+486=422 (ft)$

When the ball hits the ground, the height y, becomes 0.

So we solve:

$0=-16t^2+486\\\\16t^2=486\\\\t^2=\displaystyle{\frac{486}{16}=30.375$

$t=\sqrt{30.375}\approx5.51$

C. 5.51 seconds

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Ответ:

waltzcampbell

03.03.2021

Mathematics

Step-by-step explanation:

special angles of tan A is 0 so the value of tan A is 0

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The function y = -16^2 + 486 models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. how long will it take to hit the ground? round to the nearest hundredth of a second.

a.) 7.79 seconds
b.) 0.25 seconds
c.) 5.51 seconds
d.) 11.02

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