Question

The function y = -16t2 + 444 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 the stone to hit the ground? Round to the nearest hundredth of a second. 5. 27 seconds 10. 54 seconds 0. 25 seconds 7. 45 seconds​

Answer 1

The time taken by the stone to reach the ground is option A 5.27 seconds.

Given,

The function; y = -16t² + 444

y is the height in feet

t is the time in seconds

A stone from y height is dropped from the edge of a vertical cliff.

We have to find the time taken by the stone to reach the ground;

Here,

y = -16t² + 444

y = 0

Then,

0 = -16t² + 444

16t² = 444

t² = 444/16

t² = 27.75

t = √27.75

t = 5.27 seconds

That is,

The time taken by the stone to reach the ground is option A 5.27 seconds.

Learn more about time taken here;

brainly.com/question/3779545

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