Question

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Answer 1

The time it will take the thermometer to hit the ground is 22 seconds

Calculating Time

From the question, we are to determine the how long it would take the thermometer to hit the ground

From the given information,

The equation for the height as a function of time is

h(t) = -16t² + initial height

From the given information,

The thermometer falls from a weather balloon at a height of 7744 ft

∴ Initial height = 7744 ft

When the thermometer hits the ground, h(t) = 0

Thus, we get

0 = -16t² + 7744

16t² = 7744

t² = 7744/16

t² = 484

t = √484

t = 22 seconds

Hence, the time it will take the thermometer to hit the ground is 22 seconds

Learn more on Calculating time here: brainly.com/question/17162388

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